Answer :
Answer:
length = 37 inches
width = 8 inches
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 90 inches
The statement
The length of a rectangle is five inches more than four times it’s width is written as
l = 5 + 4w
Substitute this expression into the above formula and solve for the width
That's
90 = 2(5 + 4w) + 2w
90 = 10 + 8w + 2w
10w = 90 - 10
10w = 80
Divide both sides by 10
w = 8
Substitute this value into l = 5 + 4w
That's
l = 5 + 4(8)
l = 5 + 32
l = 37
Therefore we have
length = 37 inches
width = 8 inches
Hope this helps you