Question

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

a0.

The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 10, then =
a0.

Answer 1

Ratio 3:1 or
`(3)/(1)`.
`(QUAD)/(STOP)`

AD = 15

OP = x

`(15)/(x) = (3)/(1)`

Cross multiply

15 × 1 = 3 · x

15 = 3x

`(15)/(3)` = x

5 = x

If AD = 15, then OP = 5

OP = 10

AD = x

`(x)/(10) =(3)/(1)`

Cross multiply

1 · x = 3 × 10

x = 30

If OP = 10, then AD = 30