Question

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

3 cm
12 cm
A-96 cm?

Answer 1

6 cm²

Explanation:

Given the sides of 2 similar figures in the ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 3 : 12 = 1 : 4

ratio of areas = 1² : 4² = 1 : 16

That is the area of the larger polygon is 16 times the smaller, so

area of smaller polygon = 96 ÷ 16 = 6 cm²

Answer 2

Hello! answer: area is 6 cm2

Explanation:

Triangle area formula: base × height ÷ 2 or base × height × 1/2 so...

12 × 16 = 192 192 ÷ 2 = 96

12 ÷ 4 = 3

16 ÷ 4 = 4

3 × 4 = 12 12 ÷ 2 = 6 therefore the area is 6 hope that helps!