a square lawn has 2m
Answers
Answer:
$ry.....bt ur question is incomplete....!!!!#
plz.....re post the question....
Step-by-step explanation:
HOPE IT HELP$!!!
question
a square lawn has a 2 m wide path surrounding it. If the area of the path is 136 m2, find the area of the lawn.
Step-by-step explanation:
Here is your Answer.....
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Let ABCD be the square lawn and PQRS be the outer boundary of the square path.
Let the side of the lawn AB be x m.
Area of the square lawn = x²
Length PQ = (x m + 2 m + 2 m) = (x + 4) m
Area of PQRS = (x + 4)² = (x² + 8x + 16) m²
Now, Area of the path = Area of PQRS – Area of the square lawn
136 = x² + 8x + 16 – x²
136 = 8x + 16
136 – 16 = 8x
120 = 8x
x = 120/ 8 = 15
Side of the lawn = 15 m Hence, Area of the lawn = (Side)² = (15 m)² = 225 m²
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