Question

the path.
A path 2 m wide runs inside a square field of side 72 m. Find the area.
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Answer 1

Diagram in the attachment.

Question :

A path 2 m wide runs inside a square field of side 72 m. Find the area of path.

Solution :

$\underline{\bold {Given:}}$

• Side of square field = 72 m
• Length of path = 2 m wide

$\underline{\bold{To\:Find:}}$

• Area of path.

$\boxed{\pink{Area\:of\:square=(Side)^2}}$

$\rule {192}{2}$

In larger square :

$Side = 72 \: m$

$\implies Area = {(Side)}^{2} \\ \implies Area = {(72 \: m)}^{2} \\ \implies Area = 5184 \: {m}^{2}$

$\rule {192}{2}$

In smaller square :

$\implies Side=72 \:m-(2\:m+2\:m)\\ \implies Side=72\:m-4\:m\\ \implies Side=68\:m$

$\implies Area = {(Side)}^{2} \\ \implies Area = {(68 \: m)}^{2} \\ \implies Area = 4624 \: {m}^{2}$

$\rule {192}{2}$

$\implies Area \: of \: path = Area \: of \: larger \: square-Area \: of smaller \: square \\ \implies Area \: of \: path = (5184 - 4624 ) \: {m}^{2} \\ \implies Area \: of \: path = 560 \: {m}^{2}$

$\boxed{\green{\therefore {Area\:of\: path=560\:{m}^{2}}}}$

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