Question

A rectangle has dimensions 32cm by 24cm. If the dimensions are increased in the ratio if 5:4 so that a second rectangle is obtained, find
1) the ratio of the perimeter of the original rectangle and the second rectangle
2)the ratio of the areas of the original rectangle and the second rectangle.

Answer 1

(5/4)(32)=40, and (5/4)(24)=30, the scaled rectangle being the larger dimensions of 40cm by 30cm.

(24)(32)=768cm gives us the area of the first rectangle. (40)(30)=1200cm, the area of the second rectangle. The problem is not clear about which rectangle is on the bottom or top of the ratio, so I'll assume smaller first. That gives us an area ratio of 768:1200, which reduces to 16:25.