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Let’s check out your problem:
. Find the perimeter in yards of a rectangle that is
18
y
d
.
1
f
t
18 \mathrm{yd} .1 \mathrm{ft}
18
yd
.1
ft
. by
27
y
d
27 \mathrm{yd}
27
yd
Reduce
36
100
\frac{36}{100}
100
36
to lowect terme
View step-by-step help
Home
Math Problems
Algebra 2
Csc, sec, and cot of special angles
Full solution
Q.
. Find the perimeter in yards of a rectangle that is
18
y
d
.
1
f
t
18 \mathrm{yd} .1 \mathrm{ft}
18
yd
.1
ft
. by
27
y
d
27 \mathrm{yd}
27
yd
Reduce
36
100
\frac{36}{100}
100
36
to lowect terme
Convert to yards:
Convert
1
1
1
foot to yards because the other dimensions are in yards. There are
3
3
3
feet in a yard.
\newline
1
ft
=
1
3
yd
.
1\text{ft} = \frac{1}{3}\text{yd}.
1
ft
=
3
1
yd
.
Add converted foot to total length:
Add the converted foot to
18
18
18
yards to get the total length in yards.
\newline
18
yd
+
1
3
yd
=
18
1
3
yd
.
18\text{yd} + \frac{1}{3}\text{yd} = 18 \frac{1}{3}\text{yd}.
18
yd
+
3
1
yd
=
18
3
1
yd
.
Calculate perimeter using formula:
Calculate the perimeter of the rectangle using the formula
P
=
2
(
length
+
width
)
P = 2(\text{length} + \text{width})
P
=
2
(
length
+
width
)
.
P
=
2
(
18
1
3
yd
+
27
yd
)
P = 2(18 \frac{1}{3}\text{yd} + 27\text{yd})
P
=
2
(
18
3
1
yd
+
27
yd
)
.
Add length and width:
Add the length and width.
18
1
3
yd
+
27
yd
=
45
1
3
yd
.
18 \frac{1}{3}\text{yd} + 27\text{yd} = 45 \frac{1}{3}\text{yd}.
18
3
1
yd
+
27
yd
=
45
3
1
yd
.
Multiply sum by
2
2
2
:
Multiply the sum by
2
2
2
to get the perimeter.
P
=
2
×
136
3
yd
=
271
3
yd
P = 2 \times \frac{136}{3}\,\text{yd} = \frac{271}{3}\,\text{yd}
P
=
2
×
3
136
yd
=
3
271
yd
.
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