Question

The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 15, then =

Answer 1

Answer:

Ratio 3:1 or $\frac{3}{1}$. $\frac{QUAD}{STOP}$

AD = 15

OP = x

$\frac{15}{x} = \frac{3}{1}$

Cross multiply

15 × 1 = 3 · x

15 = 3x

$\frac{15}{3}$ = x

5 = x

If AD = 15, then OP = 5

OP = 10

AD = x

$\frac{x}{10} =\frac{3}{1}$

Cross multiply

1 · x = 3 × 10

x = 30

If OP = 10, then AD = 30