Q:

Please help!Mrs. G is planning an expansion of her square back yard. If each side of the original backyard is increased by 5 m, the new total area of the backyard will be 196 m2. Find the length of each side of the original backyard.

Accepted Solution

A:
Answer:9 mStep-by-step explanation:If x is the length of the original square, then x+5 is the length of the new square.Area of a square is the square of the side length, A = s².  Since the area of the new square is 196 m²:196 = (x + 5)²Solving, first take the square root of both sides:±14 = x + 5Subtract 5 from both sides:x = -5 ± 14x = -19, x = 9x can't be negative, so x = 9.  The side length of the original backyard is 9 m.