Arectangle 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.

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 .