Question

A park has a rectangular dog run with length 30 and width 20 ft. The parks department wants to expand each end of each side of the dog run by the same amount x. What will be the total area the expanded dog run?l

Answer 1

`Area = (30 + x)(20 + x)`

Explanation:

By definition, the area of a rectangle is the product of its length multiplied by its width.

Initially the dog run has a length of 30 ft long and 20 ft wide.

If you want to expand the track, increase the length of each side by a factor x. So, the dimensions of the expanded dog run will be:

`Length = 30 + x\\Width = 20 + x`

Then, the area is:

`Area = Length * Width`

`Area = (30 + x)(20 + x)`