1) You are designing a new kiddie soccer arena. The area of the rectangular
field needs to be 60 ft'. The length is 7 ft longer than the width. Find the
necessary dimensions.

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

The area of a rectangular field is, A = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

Factorize the last equation by splitting the middle term as follows:

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

 = 5 + 7

 = 12

The length of the rectangular field is 12 ft.