Question

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

Answer 1

Answer:

B) 22.5 units

Step-by-step explanation:

TU/15 = 9/6

TU = 15 × 3/2

TU = 22.5 units

Answer 2

Answer:

TU = 22.5 units

Step-by-step explanation:

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

$\frac{UV}{OP}$ = $\frac{TU}{NO}$, substitute values, note NO = MP = 15

$\frac{9}{6}$ = $\frac{TU}{15}$ ( cross- multiply )

6TU = 135 ( divide both sides by 6 )

TU = 22.5 units