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 $\dfrac{1}{2}$.

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 $\dfrac{1}{2}$.

Length of the new garden is

$\dfrac{8\ ft}{2}=4\ ft$

Width of the new garden is

$\dfrac{12\ ft}{2}=6\ ft$

Now, the area of the new garden is

$Area=Length\times Width$

$Area=(4)\times (6)$

$Area=24$

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