Question

Given that rectangle MNOP rectangle STUV what is the length of TU

Answer 1

B) 22.5 units

Explanation:

TU/15 = 9/6

TU = 15 × 3/2

TU = 22.5 units

Answer 2

TU = 22.5 units

Explanation:

Given that the rectangles are similar then the ratios of corresponding sides are equal, that is

`(UV)/(OP)` =
`(TU)/(NO)`, substitute values, note NO = MP = 15

`(9)/(6)` =
`(TU)/(15)` ( cross- multiply )

6TU = 135 ( divide both sides by 6 )

TU = 22.5 units