Answer:
Perimeter of the resulting rectangle is 90 in .
Step-by-step explanation:
Formula
Perimeter of Rectangle = 2 (Length + Breadth)
As given
A rectangle has a perimeter of 36 in.
Let us assume that the length of the rectangle be l .
Let us assume that the breadth of the rectangle be b .
Thus
36 = 2 (l + b)
The length and width are scaled by a factor 2.5.
Thus
Length becomes = 2.5l
Breadth becomes = 2.5b
Putting in the formula
Perimeter of Rectangle = 2 (2.5l+2.5b)
= 2 × 2.5 (l + b)
= 2.5 × 2 (l+b)
(As given the perimeter of rectangle = 2 (l + b) = 36)
= 2.5 × 36
= 90 in
Therefore the perimeter of the resulting rectangle is 90 in .
