Question

Comparing Areas: The side of a square is 11 ft long. If all four sides are increased by 4 ft, by how much is the area increased?

Answer 1

First, find the area of the square with side 11ft. Next, find the area of the square with its sides increased by 4ft. Finally, substract the areas to find the increase.

The area of a square whose sides have length L is given by the formula:

`A=L^2`

11 ft square:

`A=(11ft)^2=121ft^2`

If we increase 11ft by 4ft, the result is 15ft.

15 ft square:

`A=(15ft)^2=225f^2`

Therefore, the area increases from 121ft^2 to 225ft^2.

Substract 121 from 225 to find the increase:

`225-121=104`

Therefore, the area increases from 121 ft^2 to 225 ft^2, which is an increase of 104 ft^2.