the side of a square plot is 82 parts of 4 metre with along the sides of the square are constructed in the middle of the plot determine the area of the path
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Answer:
The area of the path is 1248 m^2
Step-by-step explanation:
Plotting all information, we have :
S(sq1)=82 m
S(sq2)=82-4-4=74 cm
A(Path)=A(sq1) - A(sq2)
A(square)=s^2
A(Path)=82^2-74^2
Using identity a^2-b^2=(a+b)*(a-b)
A(Path)=(82+74)*(82-74)
A(Path)=156*8
A(Path)=1248 m^2
Note :
sq1 is the inner square.
sq2 is the outer square.
S(x)=Side of x
A(x)=Area of x
In sq2, the 4 is subtracted twice as the length is subtracted from both the sides.
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