Question

A2 Shape C is similar to shape D

9 cm
C
x cm
9.6 cm
Work out the value of x.
D
6 cm
T
10

Answer 1

The answer for x is approximately 5.6

Explanation:

9/9.6=x/6

cross multiply

9.6x=9×6

9.6x=54

divide both sides by 9.6

9.6x/9.6=54/9.6

x=5.625

x≈5.6

Answer 2

If Shape C is similar to Shape D, then we know that the ratio of corresponding side lengths is the same. In this case, we can set up the following proportion:

9 / 6 = x / 10

To solve for x, we can cross-multiply and simplify:

9 * 10 = 6 * x

90 = 6x

x = 15

Therefore, the value of x is 15 cm.