The linear scale factor of two similar shapes is in ratio 3:4. If the area of the smaller shape is 72cm square, find the area of the bigger shape.

128 cm²

Step-by-step explanation:

Given the scale factor of 2 similar figures is a : b , then

ratio of areas = a² : b²

Here the scale factor = 3 : 4 , thus

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger figure then by proportion

= ( cross- multiply )

9x = 1152 ( divide both sides by 9 (

x = 128

Thus area of larger figure is 128 cm²