Question

A square field was enlarged by adding 5 feet to the length and width of the original field. If the area of the enlarged field is 576 square feet, what

was the side length of the original field?

OA 29 feet

OB. 19 feet

C. 6 feet

D. 36 feet

Answer 1

The side length of the original field is 19 feet

Explanation:

Let the side of original square be x

Now we are given that A square field was enlarged by adding 5 feet to the length and width of the original field.

So, length of side of enlarged field = x+5

Area of new enlarged field =
`Side^2 = (x+5)^2`

We are given that the area of the enlarged field is 576 square feet

So,
`(x+5)^2=576`

`x+5=√(576)`

`x+5=24`

`x=24-5`

`x=19`

Hence The side length of the original field is 19 feet