Question

The Taylors plan to expand their

80 square foot garage by tripling the
dimensions. What will be the area of
the new garage?

Answer 1

`A_(2) = 720\ ft^(2)`

Explanation:

Let w and l be the width and length of the garage.

Let
`A_(1)` and
`A_(2)` be the area of garage at present and new garage.

Given:

The area of the garage at present

`A_(1)=80\ ft^(2)`

And he planed to tripling the dimensions of the garage.

We need to find the area of the new garage.

Solution:

We know the area of the rectangular garage.

`Area=width* lendth`

`A_(1)=w* l`

`w* l=80` ---------------(1)

The dimension of the new garage is triple, so the area of the new garage is.

`A_(2) = (3* width)* (3* length)`

`A_(2) = (3* w)* (3* l)`

`A_(2) = 9* (w* l)`

Substitute
`w* l=80` from equation 1.

`A_(2) = 9* (80)`

`A_(2) = 720\ ft^(2)`

Therefore, the area of the new garage
`A_(2) = 720\ ft^(2)`