Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Area and perimeter: word problems
Each face of a cube has an area of
4
4
4
square units. What is the volume of the cube?
\newline
____ cubic units
Get tutor help
A cube-shaped box has a volume of
64
cubic inches
64\,\text{cubic inches}
64
cubic inches
. What is the area of one of its faces?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
square inches
Get tutor help
A cube has
6
6
6
faces, each with an area of
16
16
16
square units. What is the volume of the cube?
\newline
____ cubic units
Get tutor help
A picture frame has an area of
121
square centimeters
121\,\text{square centimeters}
121
square centimeters
. Assuming it is a square, what is the perimeter of the frame?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
centimeters
Get tutor help
The surface of an air hockey table has an area of
40
40
40
square feet and a perimeter of
28
28
28
feet. What are the dimensions of the air hockey table?
\newline
_
_
_
\_\_\_
___
feet by
_
_
_
\_\_\_
___
feet
Get tutor help
Each side of a square classroom is
5
meters
5\,\text{meters}
5
meters
long. The school wants to replace the carpet in the classroom with new carpet that costs
$
65.00
\$65.00
$65.00
per square meter. How much will the new carpet cost?
\newline
$
_
_
_
\$\_\_\_
$___
Get tutor help
A rectangular concrete patio has a perimeter of
36
meters
36\,\text{meters}
36
meters
. Its area is
80
square meters
80\,\text{square meters}
80
square meters
. What are the dimensions of the patio?
\newline
_
_
_
_
\_\_\_\_
____
meters by
_
_
_
_
\_\_\_\_
____
meters
Get tutor help
The area of a rectangular price tag is
15
square centimeters
15 \, \text{square centimeters}
15
square centimeters
. It is
3
centimeters
3 \, \text{centimeters}
3
centimeters
tall. How wide is it?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
centimeters
Get tutor help
David needs to buy a bathroom mirror that is
2
2
2
feet wide and
2
2
2
feet long. If the mirror sells for
$
1.00
\$1.00
$1.00
per square foot, what will the total cost of the mirror be?
\newline
$
\$
$
_____
Get tutor help
The perimeter of a rectangular living room is
34
34
34
meters. The area is
72
72
72
square meters. What are the dimensions of the living room?
\newline
_
_
_
\_\_\_
___
meters by
_
_
_
\_\_\_
___
meters
Get tutor help
The area of a rectangular restaurant kitchen is
70
square meters
70\,\text{square meters}
70
square meters
. The perimeter is
34
meters
34\,\text{meters}
34
meters
. What are the dimensions of the kitchen?
\newline
_
_
_
_
\_\_\_\_
____
meters by
_
_
_
_
\_\_\_\_
____
meters
Get tutor help
A farmer needs to build a goat pen. The pen will be
6
yards
6\,\text{yards}
6
yards
wide and
9
yards
9\,\text{yards}
9
yards
long. The fencing material costs
$
4.00
\$4.00
$4.00
per yard. How much will it cost to buy enough fencing material to build the goat pen?
\newline
$
\$
$
_____
Get tutor help
A rectangular goat pen has an area of
24
square meters
24\,\text{square meters}
24
square meters
and a perimeter of
20
meters
20\,\text{meters}
20
meters
. What are the dimensions of the pen?
\newline
_
_
_
_
\_\_\_\_
____
meters by
_
_
_
_
\_\_\_\_
____
meters
Get tutor help
Measurements of a room are
7
m
50
cm
7\text{m}50\text{cm}
7
m
50
cm
,
6
m
8
6\text{m}8
6
m
8
3
m
75
cm
3\text{m}75\text{cm}
3
m
75
cm
. Find the length of the longest rod that can measure all the three dimensions of the room.
Get tutor help
Measurements of a room are
7
m
50
c
m
,
6
m
&
7\mathrm{~m} 50 \mathrm{~cm}, 6 \mathrm{~m} \&
7
m
50
cm
,
6
m
&
3
m
75
c
m
3 \mathrm{~m} 75 \mathrm{~cm}
3
m
75
cm
. Find the length of the longest rod that can measure all the three dimensions of the room.
Get tutor help
2
2
2
Ms. Grant drew the picture below to show how her dog run will look in her yard.
\newline
What will be the total area of the dog run?
\newline
A
28
28
28
square feet
\newline
B
36
36
36
square feet
\newline
C
48
48
48
square feet
\newline
D.
72
72
72
square feet
Get tutor help
4
4
4
. The length of a rectangle is
1
1
1
meter less than its width. The area of the rectangle is
42
42
42
square meters. Find the dimensions of the rectangle.
Get tutor help
Keala is making a new book cover before giving their favorite picture book to their little brother. The cover is
22
1
4
cm
22\frac{1}{4}\,\text{cm}
22
4
1
cm
tall. It has a rectangular shape and an area of
890
cm
2
890\,\text{cm}^2
890
cm
2
.
\newline
How wide across is Keala's book cover?
\newline
□
cm
\square \,\text{cm}
□
cm
Get tutor help
Japhet is making small rectangular tiles for a mosaic. Each tile has an area of
7
cm
2
7\,\text{cm}^2
7
cm
2
and is
1
1
4
cm
1\frac{1}{4}\,\text{cm}
1
4
1
cm
wide.
\newline
How long is each tile?
\newline
□
cm
\square \,\text{cm}
□
cm
Get tutor help
A sumo wrestling ring is circular and has a circumference of
4.6
π
4.6 \pi
4.6
π
meters.
\newline
What is the area
A
A
A
of the sumo wrestling ring in square meters? Give your answer in terms of
π
\pi
π
.
\newline
A
=
□
A=\square
A
=
□
m
2
\mathrm{m}^{2}
m
2
Get tutor help
An open-topped glass aquarium with a square base is designed to hold
13
13
13
.
5
5
5
cubic feet of water. What is the minimum exterior surface area of the aquarium?
\newline
square feet
Get tutor help
An open-topped glass aquarium with a square base is designed to hold
4
4
4
cubic feet of water. What is the minimum exterior surface area of the aquarium?
\newline
square feet
Get tutor help
An open-topped glass aquarium with a square base is designed to hold
32
32
32
cubic feet of water. What is the minimum possible exterior surface area of the aquarium?
\newline
square feet
Get tutor help
Rajesh wants to fill his pool with water. The pool is
2
m
2\,\text{m}
2
m
deep.
Get tutor help
Which diagram is a net for this pyramid?
\newline
What is the surface area of the triangular pyramid?
\newline
□
\square
□
square centimeters
Get tutor help
12
cm
×
8
cm
12\,\text{cm} \times 8\,\text{cm}
12
cm
×
8
cm
picture with a equal frame around it. The frame has an area of
64
cm
2
64\,\text{cm}^2
64
cm
2
. How wide is the frame?
Get tutor help
T.
7
7
7
Area and perimeter: word problems MHV
\newline
A rectangular piece of metal has an area of
693
693
693
square centimeters. Its perimeter is
172
172
172
centimeters. What are the dimensions of the piece?
\newline
□
\square
□
centimeters by
□
\square
□
centimeters
\newline
Submit
Get tutor help
Find the dimensions of a rectangular lawn whose perimeter is
100
100
100
feet and whose area is
600
600
600
square feet
Get tutor help
Gabriel is designing a rectangular planter box for their garden. It needs to cover an area of
15
1
5
m
2
15\frac{1}{5}\,\text{m}^2
15
5
1
m
2
. Gabriel wants it to be
7
3
4
7\frac{3}{4}
7
4
3
long. How wide does the planter box need to be?
Get tutor help
Four glass balls, each with a
2
2
2
.
5
5
5
inch radius, are placed in a box. If the remaining space is to be filled with cotton for padding, how much cotton is needed? Use
3
3
3
.
14
14
14
for
π
\pi
π
Get tutor help
A rectangle has a perimeter of
32
cm
32\,\text{cm}
32
cm
. The length is
6
cm
6\,\text{cm}
6
cm
longer than the width. What is the length?
Get tutor help
Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of
33
cm
2
33\,\text{cm}^2
33
cm
2
and a width of
7
1
2
cm
7 \frac{1}{2}\,\text{cm}
7
2
1
cm
. What is the height of this painting?
Get tutor help
A rectangular parking lot is
38
meters
38\,\text{meters}
38
meters
wide and
117
meters
117\,\text{meters}
117
meters
long. What is its perimeter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
Get tutor help
A rectangular sheet of metal measures
8
8
8
inches by
10
10
10
inches. The metal is worth
$
2.15
\$2.15
$2.15
per square inch. How much is the sheet of metal worth?
\newline
$
\$
$
_____
Get tutor help
A map of the world has a perimeter of
20
20
20
feet. Its area is
21
21
21
square feet. What are the dimensions of the map?
\newline
_
_
_
\_\_\_
___
feet by
_
_
_
\_\_\_
___
feet
Get tutor help
The perimeter of a rectangular dining room is
22
22
22
meters. The area is
24
24
24
square meters. What are the dimensions of the dining room?
\newline
_
_
_
\_\_\_
___
meters by
_
_
_
\_\_\_
___
meters
Get tutor help
The area of a square piece of construction paper is
100
square inches
100\,\text{square inches}
100
square inches
. How long is each side of the piece of paper?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
inches
Get tutor help
The area of a square market is
25
square meters
25\,\text{square meters}
25
square meters
. How long is each side of the market?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
Get tutor help
A movie poster is
2
feet
2\,\text{feet}
2
feet
wide and
4
feet
4\,\text{feet}
4
feet
tall. A frame shop charges
$
1.60
\$1.60
$1.60
per foot for a black metal frame. How much would it cost to buy a black metal frame for the movie poster?
\newline
$
\$
$
_____
Get tutor help
A rectangular painting is
6
6
6
feet wide and
6
6
6
feet high. What is its area?
\newline
_
_
_
_
\_\_\_\_
____
square feet
Get tutor help
An envelope has an area of
50
50
50
square inches and a perimeter of
30
30
30
inches. What are the dimensions of the envelope?
\newline
_
_
_
\_\_\_
___
inches by
_
_
_
\_\_\_
___
inches
Get tutor help
A square calendar has a perimeter of
40
40
40
inches. How long is each side of the calendar?
\newline
_
_
_
_
\_\_\_\_
____
inches
Get tutor help
A rectangular sticker has a perimeter of
26
26
26
centimeters. Its area is
36
36
36
square centimeters. What are the dimensions of the sticker?
\newline
_
_
_
\_\_\_
___
centimeters by
_
_
_
\_\_\_
___
centimeters
Get tutor help
A rectangular red sticker has an area of
18
square millimeters
18 \, \text{square millimeters}
18
square millimeters
and a perimeter of
18
millimeters
18 \, \text{millimeters}
18
millimeters
. What are the dimensions of the sticker?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
millimeters by
_
_
_
_
_
\_\_\_\_\_
_____
millimeters
Get tutor help
A train ticket has a perimeter of
36
centimeters
36\,\text{centimeters}
36
centimeters
and an area of
80
square centimeters
80\,\text{square centimeters}
80
square centimeters
. What are the dimensions of the ticket?
\newline
_
_
_
_
\_\_\_\_
____
centimeters by
_
_
_
_
\_\_\_\_
____
centimeters
Get tutor help
A rectangular sticker has an area of
28
square centimeters
28\,\text{square centimeters}
28
square centimeters
and a perimeter of
22
centimeters
22\,\text{centimeters}
22
centimeters
. What are the dimensions of the sticker?
\newline
_
_
_
_
\_\_\_\_
____
centimeters by
_
_
_
_
\_\_\_\_
____
centimeters
Get tutor help
The area of a square name tag is
25
square centimeters
25\,\text{square centimeters}
25
square centimeters
. How long is each side?
\newline
_
_
_
_
\_\_\_\_
____
centimeters
Get tutor help
A poster has a perimeter of
16
16
16
feet and an area of
15
15
15
square feet. What are the dimensions of the poster?
\newline
_
_
_
_
\_\_\_\_
____
feet by
_
_
_
_
\_\_\_\_
____
feet
Get tutor help
Each side of a square painting is
3
meters
3\,\text{meters}
3
meters
long. What is the painting's perimeter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
Get tutor help
The area of the surface of an air hockey table is
40
40
40
square feet. It is
10
10
10
feet long. How wide is it?
\newline
_____ feet
Get tutor help
1
2
Next