Around a square pool,there is a footpath of width 2m. If the area of the footpath is 7/9 times that of pool find the area of pool
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Answer:
The area of the square pool is 144 sq .cm.
Step-by-step explanation:
Given : Around a square pool,there is a footpath of width 2m. If the area of the footpath is 7/9 times that of pool
To find : The area of pool?
Solution :
Let the length of the pool is x
According to question,
(x - 12)(7x + 12) = 0
(x - 12)=0 or 7x + 12)=0
x = 12 or x =- 12/7
BUT,
x =- 12/7 is not acceptable
Therefore, The length of the pool is x = 12 m
The area of the square pool is
A=12 × 12=144 centimeter²
Therefore, The area of the square pool is 144 sq .cm.
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