Question

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

Answer 1

The area of the other polygon is $30 cm^2$

explanation

If two triangles are similar , then the ratio of their corresponding sides will be equal to the ratio of their areas. Here the given triangles are similar which means the ratio of their areas will be equal to the ratio of their corresponding sides.

The side length of the first triangle=4cm

Side length of the second triangle=12 cm

Area of the first triangle=$10cm^2$

Let the area of the second triangle be A/

$4/12=10/A\\A=(10*12)/4=120/4=30$

The area of the second triangle =$30cm^2$