Question

A rectangle has a perimeter of 26 inches. All of its side lengths are doubled to create a new rectangle.

a. How does the perimeter of the new rectangle compare to the perimeter of the original rectangle?
b. How does the area of the new rectangle compare to the area of the original rectangle?

Answer 1

a) the new perimeter is 2 times the old perimeter

b) the new area is 4 times the old area

Explanation:

b) the doubling of the length and width affects the area formula like this:

old triangle area formula = 1/2bh

new triangle area formula = 1/2(2b)(2h), you see the 2 x 2 causes the area to be 4 fold