Question

Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Answer 1

45 ft/40 ft

Explanation:

The change in scale factor is: old scale factor/new scale factor. The old scale factor is 1 inch: 9 ft and became 1 inch: 8 ft. The change in scale factor is 9 ft/8 ft=45 ft/40 ft.

Hope this helps!

Answer 2

the change in the scale factor is
`(45)/(40)` .Correct option C) StartFraction 45 feet over 40 feet EndFraction

Explanation:

Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:

Initially the ratio of width to actual width is :

⇒
`(5)/(45)`

Now , After 45 ft is changed to 40 ft , New ratio becomes :

⇒
`(5)/(40)`

So , change in scale factor is from
`(5)/(45)` to
`(5)/(40)` i.e.

⇒
`((5)/(40) )/((5)/(45) )`

⇒
`(5)/(40)((45)/(5) )`

⇒
`(45)/(40)`

Therefore , the change in the scale factor is
`(45)/(40)` .Correct option C) StartFraction 45 feet over 40 feet EndFraction