Question

A and B are two similar 2D shapes

A 12cm
B 15cm
The area of the shape A is 200cm^2.
Calculate the area of shape B

Answer 1

Answer:
`312.5\ cm^2`

Explanation:

Given

A and B are two similar shape with lengths of 12 cm and 15 cm

A has an area of
`200\ cm^2`

For similar figures, ratio of the square of corresponding length is equal to the ratio of the area

`\Rightarrow (200)/(A_b)=(12^2)/(15^2)\\\\\Rightarrow A_b=(15^2)/(12^2)* 200\\\\\Rightarrow A_b=312.5\ cm^2`