Question

The 2 rectangles below are similar.

Work out the value of x.
If your answer is a decimal, give it to 1 D.P

Answer 1

x = 6

Explanation:

the opposite sides in a rectangle are congruent.

since the rectangles are similar then the ratios of corresponding sides are in proportion, that is

`(5x)/(18)` =
`(10)/(x)` ( cross- multiply )

5x² = 18 × 10 = 180 ( divide both sides by 5 )

x² = 36 ( take square root of both sides )

x =
`√(36)` = 6