Question

A rectangle has has an area of 112 cm². The length and the width of the rectangle are changed by a scale factor of 1.5. What is the area of the new rectangle? Enter your answer in the box.

Answer 1

I took the test the answer is 252
`cm^(2)`

Answer 2

252 cm^2

Explanation:

Let x be the length

and

y be the width of rectangle

Then, the area will be:

`A=length*width\\x*y=112`

If the length and width are changes by a scale factor 1.5.

Then the area will be:

`Area=(1.5x)(1.5y)\\=(2.25)(x*y)`

We already know that xy=112

So the new area will be:

`Area= (2.25)(112)\\=252\ cm^(2)`