Question

A rectangular garden in Mrs. Dorothy's house has a length of 100 meters and a width of 50 meters. A square swimming pool is to be constructed inside the garden. Find the length of one side of the swimming pool if the remaining area (not occupied by the pool) is equal to one half the area of the rectangular garden

Answer 1

Answer:

If x is the number to find, its square is x2.

x is equal to its square hence: x = x2

Solve the above equation by factoring. First write with right side equal to zero.

x - x2 = 0

x(1 - x) = 0

solutions: x = 0 and x = 1

Check answers.

1) x = 0 , its square is 02 = 0 . Hence x and its square are equal.

2) x = 1 , its square is 12 = 1 . Hence x and its square are equal.