A rectangle has a perimeter of 36 in. The length and width are scaled by a factor 2.5. What is the perimeter of the resulting rectangle?Enter your answer in the box. in.
Accepted Solution
A:
Answer:Perimeter of the resulting rectangle is 90 in .Step-by-step explanation:Formula Perimeter of Rectangle = 2 (Length + Breadth)As givenA 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 = 2.5bPutting 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 .