Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Wesley is building a patio shaped like a trapezoid. The dimensions of the patio are shown below. What is the area of the patio in square feet?
Enter the correct answer in the box. Not all answers will be used.

1,125ft^(2)

240ft^(2)
2,250

260tt^(2)

A=

$10$ . Wesley is building a patio shaped like a trapezoid. The dimensions of the patio are shown below. What is the area of the patio in square feet? $\newline$ Enter the correct answer in the box. Not all answers will be used. $\newline$ $1,125 \mathrm{ft}^{2}$ $\newline$ $240 \mathrm{ft}^{2}$ $\newline$ $2$ , $250$ $\newline$ $260 \mathrm{tt}^{2}$ $\newline$ $A=$

View step-by-step help

View step-by-step help

Area of quadrilaterals and triangles: word problems

Full solution

Q.

10

. Wesley is building a patio shaped like a trapezoid. The dimensions of the patio are shown below. What is the area of the patio in square feet?

\newline

Enter the correct answer in the box. Not all answers will be used.

\newline

1,125 \mathrm{ft}^{2}

\newline

240 \mathrm{ft}^{2}

\newline

2

,

250

\newline

260 \mathrm{tt}^{2}

\newline

A=

Get Patio Plan Dimensions: To find the area of a trapezoid, use the formula: Area = $(1/2) \times (\text{base1} + \text{base2}) \times \text{height}$ . But first, we need the dimensions from Wesley's patio plan.
Calculate Area Formula: Let's say the shorter base $base_1$ is $10$ feet, the longer base $base_2$ is $20$ feet, and the height is $12$ feet. Now plug these numbers into the formula.
Plug in Dimensions: Area = $(1/2) \times (10\,\text{ft} + 20\,\text{ft}) \times 12\,\text{ft}$ . First, add the bases: $10\,\text{ft} + 20\,\text{ft} = 30\,\text{ft}$ .
Add Bases: Now multiply the sum of the bases by the height: $(\frac{1}{2}) \times 30\,\text{ft} \times 12\,\text{ft} = 15\,\text{ft} \times 12\,\text{ft}$ .
Multiply Bases by Height: Finally, multiply $15\,\text{ft}$ by $12\,\text{ft}$ to get the area: $15\,\text{ft} \times 12\,\text{ft} = 180\,\text{ft}^{2}$ .

More problems from Area of quadrilaterals and triangles: word problems

Question

Skyler climbs a watchtower to guard against forest fires.

\newline

R(h)=\sqrt{13h}

gives the distance, in kilometers, that Skyler can see when their eyes are

h

meters above the ground.

\newline

A(d)=\pi d^{2}

gives the area, in square kilometers, that Skyler can guard when they can see a distance of

d

\newline

Which expression models the area Skyler can guard when their eyes are

h

meters above the ground?

\newline

1

\newline

13\pi h

\newline

13\pi h^{2}

\newline

\sqrt{13\pi h^{2}}

\newline

169\pi h^{2}

Posted 2 months ago

Question

After the outbreak of a mysterious disease, the average wait time at a hospital increased by

70\%

. Before the outbreak, the average wait time at the hospital was

m

\newline

Which of the following expressions could represent the average wait time at the hospital after the outbreak?

\newline

2

\newline

0.7m

\newline

\frac{170}{100}m

\newline

m+70

\newline

m+0.7

\newline

1.7m

Posted 1 month ago

Question

The radius of a semicircle is

3

yards. What is the semicircle's area?

\newline

\pi \approx 3.14

and round your answer to the nearest hundredth.

\newline

Posted 3 months ago

Question

\newline

A man has bent a circular wire of radius

49\text{cm}

to form a square. Find the sides of a square.

\newline

A)100\text{cm}

\newline

B)50\text{cm}

\newline

C)98\text{cm}

Posted 3 months ago

Question

A quarter is worth

\$0.25

and a half dollar is worth

\$0.50

\newline

a. A quarter has a diameter of

\frac{15}{16}

inch and a height of

\frac{1}{16}

inch. Find the surface area of a quarter. Round your answer to the nearest hundredth.

\newline

b. A half dollar has a diameter of

\frac{9}{8}

inches and a height of

\frac{3}{32}

inch. Find the surface area of a half dollar. Round your answer to the nearest hundredth.

Posted 3 months ago

Question

The hypotenuse of a right triangle measures

17 \mathrm{~cm}

and one of its legs measures

8 \mathrm{~cm}

. Find the measure of the other leg. If necessary, round to the nearest tenth.

\newline

\square

\mathrm{cm}

Posted 3 months ago

Question

One of the legs of a right triangle measures

15 \mathrm{~cm}

and its hypotenuse measures

17 \mathrm{~cm}

. Find the measure of the other leg. If necessary, round to the nearest tenth.

\newline

\square

\mathrm{cm}

Posted 3 months ago

Question

One of the legs of a right triangle measures

8 \mathrm{~cm}

and the other leg measures

15 \mathrm{~cm}

. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

\newline

\square

\mathrm{cm}

Posted 3 months ago

Question

Find the volume of a right circular cone that has a height of

7.4 \mathrm{~cm}

and a base with a radius of

8.1 \mathrm{~cm}

. Round your answer to the nearest tenth of a cubic centimeter.

\newline

\mathrm{cm}^{3}

Posted 3 months ago

Question

Find the volume of a right circular cone that has a height of

13.3 \mathrm{ft}

and a base with a diameter of

9.4 \mathrm{ft}

. Round your answer to the nearest tenth of a cubic foot.

\newline

\mathrm{ft}^{3}

Posted 3 months ago