Question

A rectangle is 20m by 8m is similar to a rectangle 4m by x m. Find the 2 possible values of X​

Answer 1

x = 24 cm

x = 40 cm

Explanation:

similar by perimeter:

2(20 + 8) = 56cm

2(4 + x) = 2x + 8

2x + 8 = 56

2x = 56 - 8

2x = 48

x = 48/2

x = 24 cm

similar by area:

20 × 8 = 160 cm²

4x = 160

x = 160/4

x = 40 cm