Question

Brianna had a garden Box that is 8' by 12' this summer she decided that it is too big and wants to reduce it by a scale factor of 1/2 find the area of her new garden​

Answer 1

Given:

Brianna had a garden Box that is 8' by 12'.

She decided to reduce it by a scale factor of
`(1)/(2)`.

To find:

The area of her new garden.

Solution:

Let the length and width of the original garden are 8 ft by 12 ft respectively.

Reduce the dimensions by a scale factor of
`(1)/(2)`.

Length of the new garden is

`(8\ ft)/(2)=4\ ft`

Width of the new garden is

`(12\ ft)/(2)=6\ ft`

Now, the area of the new garden is

`Area=Length* Width`

`Area=(4)* (6)`

`Area=24`

Therefore, the area of the new garden is 24 sq. ft.