Question

A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 9 meters, the new total area of the garden will be 169 square meters. Find the length of each side of the original garden.
• 9 m
• 13 m
• 2 m
• 4 m
Show how you got the answer - thanks.

Answer 1

each side of the new area of the garden = 13
since 13x13 = 169
(side x side = area of square)
so 13-9
=4m
Therefore, 4m should be the answer

Answer 2

( x + 9 ) ^ 2 = 169 Take the square root of both sides

x + 9 = 13 Subtract 9 from both sides

x + 9 - 9 = 13 - 9

x = 4

The length of the original garden = 4 m

Answer 3

A campground consists of 12 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the water To the end of the is 5 yards. The area of the campground, including the beach, is 1,248 square yards. What is the width of one campsit