A sequare region is changed into a rectangular one by making

A sequare region is changed into a rectangular one by making it 2 feet wider and twice as long. If the area of the rectangular region is three times larger than the area of the original square region, what was the length of a side of the sequre before it was changed?

Solution

Side of square = a

width of rectangle = 2 feet

Length = 2a

Area of reactangular region = 3* Area pof square

2a*2 = a²

4a = a²

a = 4

the length of a side of the sequre before it was changed = 4 feet