The width of a small playground 3 meters less than the length of the playground. If the area of the playground 54 square meters.
What are the dimensions of the playground.
1 answer:
Answer: Length = 9 meters
Width = 6 meters
Step-by-step explanation:
The diagram of the playground is shown in the attached photo
The width of a small playground 3 meters less than the length of the playground.
Length of playground = L meters
Width of playground = (L-3) meters
The area of the playground is 54 square meters.
Area = L × W
54 = L(L - 3)
54 = L^2 - 3L
L^2 - 3L - 54 = 0
L^2 + 6L - 9L- 54 = 0
L(L+6) - 9(L+6) = 0
(L-9)(L+6) = 0
L -9 = 0. or L+6 = 0
L = 9 or L = -6
L cannot be negative so, the length of the playground is 9 meters
The width of the playground is
L-3 = 9-3 = 6 meters
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