Question

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The length of the side of a grassy square plot is 80 m. Two walking paths each 4m wide are constructed parallel to the sides of the plot such that they cut each other at the centre of the plot. Determine the area of the paths.​

Answer 1

Answer:

624 m².

Solution:

Area of paths = 4×80+4×80-4×4

= 320+320-16

= 640-16

= 624 m².

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Answer 2

i) Length of the side of the grassy square plot

$= ab = 80m$

ii) IJKL and EFGH are two parallel paths dimensions of the paths are,

$length \: = i = 80m$

$breadth \: = b = 4m$

iii) side of the square PQRS

$PQ = 4m$

Now,

Area of the paths

$= z \times of \: IJKL \: area \: of \:$

$PQRS \:$

$a = 2 \times ib \: - (PQ) {}^{2}$

$= 2 + 80 \times 4 - 4 {}^{2}$

$= 640 - 16$

$624 \: square \: meter \:$

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