Question

The perimeters of two similar quadrilaterals are 48 cm and 60 cm, respectively. If the area of the smaller quadrilateral is 96 cm2, find the area of the larger quadrilateral.

Answer 1

To answer this question set up a ratio of the perimeter to the area for the small quadrilateral (48 cm:96 square cm). Create an equivalent ratio with the perimeter of the larger quadrilateral to the area of the larger a quadrilateral (60 cm:x square cm). Use cross products to answer this. See the attached work.