Answer: The side of the original square is 4 feet.
Step-by-step 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
[tex](x+7)^2=121[/tex]
[tex]\Rightarrow\ (x+7)^2=11^2\ \ \ [\because\ 11^2=121][/tex]
Taking square roots on both sides , we get
[tex]x+7=11\\\\\Rightarrow\ x=11-7=4[/tex]
Hence, the side of the original square is 4 feet.
