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Question 174485This question is from textbook algebra 1
: you can find the perimeter of rectangle if you subtract the width from the length, add 7 inches, and multiply the result by 4.
d.If the rectangle width is 8 inches, what is the length? What is its perimeter?
This question is from textbook algebra 1
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! you can find the perimeter of rectangle if you subtract the width from the length, add 7 inches, and multiply the result by 4.
d.If the rectangle width is 8 inches, what is the length? What is its perimeter?
.
Let x = length
and p = perimeter
.
Because we have two variables, we'll need two equations.
.
from the statement of the problem we get:
p = (x-8 + 7)4
from standard definition of perimeter: "twice width plus length"
p = 2(8+x)
.
Solving for x:
2(8+x) = (x-8 + 7)4
16+2x = (x-1)4
16+2x = 4x-4
16 = 2x-4
20 = 2x
10 inches = x (length)
.
Perimeter:
p = 2(8+x)
p = 2(8+10)
p = 2(18)
p = 36 inches (perimeter)
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