Problema Solution
When the length of each side of a square is increased by 7 inches, its area is increased by 189 inches^2. Find the length of the side of the original square.
Answer provided by our tutors
let a = the length of the side of the original square, a>0
the length of each side of a square is increased by 7 inches therefor the new length is: a + 7
the area of the original square is: a^2
the area of the new square is: (a + 7)^2
its area is increased by 189 inches^2:
(a + 7)^2 = a^2 + 189
by solving we find
a = 10 in
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the length of the side of the original square in 10 inches.