Question

Washington Middle School's school flag has a height: width ratio of 12:27

If the school flag is 32 inches high, what is its width?

If the school flag is 48 inches wide, what is its height to the nearest tenth of an inch?

Answer 1

Answer with explanation:

Given : Washington Middle School's school flag has a height: width ratio of 12:27 . (1)

i) Height of school flag = 32 inches

Let x be the width, then ratio of height to width=
`(32)/(x)`

From (1), we have

`(32)/(x)=(12)/(27)\\\\ x=(27*32)/(12)=72`

Hence, If the school flag is 32 inches high then width = 72 inches.

ii) Width of school flag = 48 inches

Let h be the height , then ratio of height to width=
`(h)/(48)`

From (1), we have

`(h)/(48)=(12)/(27)\\\\ x=(12*48)/(27)=21.3333333333\approx21.3`

Hence, If the school flag is 48 inches wide, then height = 21.3 inches.