Answer:
≈ 36.5 cm²
Step-by-step explanation:
Given the perimeters in ratio a : b , then
ratio of areas = a² : b²
Here ratio of perimeter = 20 : 28 = 5 : 7 , thus
ratio of areas = 5² : 7² = 25 : 49
let x be the area of larger , then using proportion
[tex]\frac{25}{18.6}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )
25x = 911.4 ( divide both sides by 25 )
x ≈ 36.5 cm² ( to the nearest tenth )
