Problema Solution
for a remodeling job, an architect suggested increasing the sides of a square patio by 3 feet per side. this made the area of the new patio 49 square feet. what was the area of the original patio?
Answer provided by our tutors
let
a = the length of the side of the original patio, a>0
a + 3 = the side of the squared patio increased by 3 ft
the are of the new patio is 49 ft^2 that is
(a + 3)^2 = 49
by solving we find and consider the positive root only since a>0
a = 4 ft
click here to see the step by step solution of the quadratic equation
the are of the original patio is a^2 that is 4^2 = 16 ft^2.