Question

The figures are similar. Find the area.

The area of △ABC is 15 square cm. The height of △ABC is 5 cm and the height of △DEF is 13 cm. Find the area of △DEF. Round to the nearest square cm if necessary.

a. 86 cm2
b. 26 cm2
c. 101 cm2
d. 106 cm2

Answer 1

c. 101 cm²

Explanation:

The ratio of areas is the square of the ratio of linear dimensions, such as height. The area of the larger ΔDEF is (13/5)² times that of the smaller ΔABC.

Area DEF = (13/5)²×(15 cm²) = 101.4 cm² ≈ 101 cm² . . . . matches choice C