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

Square root of 121 is 11.
11-7=4
A side of the original square is 4 feet.

Answer 2

Answer: The side of the original square is 4 feet.

Explanation:

Given , the sides of the original square is lengthened by 7 feet.

The area of the new square = 121 square feet.

Let the original side of square be 'x'.

The new side = x+7

Area of new square =(side)² = (x+7)²

As per given , we have

`(x+7)^2=121`

`\Rightarrow\ (x+7)^2=11^2\ \ \ [\because\ 11^2=121]`

Taking square roots on both sides , we get

`x+7=11\\\\\Rightarrow\ x=11-7=4`

Hence, the side of the original square is 4 feet.