Question

GCSE Similar Shapes
Helppppp the deadline is tonight

Answer 1

40cm

Explanation:

If the two pentagons are similar then the scale factor can be found by dividing the width of the larger pentagon with the width of the smaller one.

Since both are like terms they can be divided to give
`4x/x=4`

This tells you that the scale factor is 4 which means that we can use the value given to us to figure out the value of x.

Knowing that the lengths of the large pentagon are 4 times of the smaller one, using simultaneous equations we can find that:

48 = 4(x + 2)

48 = 4x + 8

40 = 4x

10 = x

The width of the pentagon is 4x and we know that x = 10

Therefore the width of the pentagon is 4 x 10 = 40 cm

Hope this helps :)