Question

If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. how long is a side of the original square?

Answer 1

Let the length of one side of the original square be a.

The length of one side of the new square is (a+7) feet,

the area of the second square is
`(a+7)^(2)=121`

taking the square root of both sides:


`\sqrt{(a+7)^(2)} = √(121)`

a+7=11
a=4


Answer: 4 feet