A square lawn has a 2 metre wide path surrounding it. if the area of the path is 136 metre square find the area of the lawn.
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Answer:
225 m²
Step-by-step explanation:
It is given that a square lawn has a 2m wide path surrounding it. If the area of the path is 136 square m.
Area of a square = a²
Let the side length of lawn be x.
So, the side length of path is x+4.
The area of path is the difference between area of square path and area of lawn.
A = (x + 4)² - x²
136 = x² + 16 + 8x - x²
120 = 8x
x = 15 m
The length of lawn is 15 cm.
The area of lawn will be,
= 15²
= 225 m²
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Step-by-step explanation:
square lawn has a 2 metre wide path surrounding it. if the area of the path is 136 metre square find the area of yhgtk lawn.
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