Question

Here are two similar pentagons which make up a badge.

4x cm

Work out the width of the badge.

|(x+2)cm 48 cm

Answer 1

Answer: 40cm

Explanation:

corresponding sides!!

Answer 2

40cm

Explanation:

Since the pentagons are similar, the corresponding sides are in the same ratio.

`(4x)/(48)=(x)/(x+2) \\\text{Cross Multiply}\\4x(x+2)=48x\\4x^2+8x=48x=0\\4x^2=48x-8x\\4x^2=40x\\4x=40\\x=10\:cm`

The width of the badge = 4x

=4 X 10

=40cm

The width of the badge is 40cm.