Question

The ratio between the length and
the breadth of a rectangular plot is
7:5. If the perimeter of the plot is 144
metres, what is its area?​

Answer 1

✯✯ QUESTION ✯✯

The ratio between the length and the breadth of a rectangular plot is 7:5. If the perimeter of the plot is 144 metres, what is its area?

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✰✰ ANSWER ✰✰

$\longmapsto\tt{Length=7x}$

$\longmapsto\tt{Breadth=5x}$

$\longmapsto\tt{Perimeter=144m}$

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\red{\sf{Perimeter\:of\:Rectangle=2(l+b)}}}}}}}$

➥Putting Values : -

$\longmapsto\tt{144=2(7x+5x)}$

$\longmapsto\tt{144=2(12x)}$

$\longmapsto\tt{\cancel\dfrac{144}{2}=12x}$

$\longmapsto\tt{72=12x}$

$\longmapsto\tt{x=\cancel\dfrac{72}{12}}$

$\pink\longmapsto\:\large\underline{\boxed{\bf\green{x}\red{=}\blue{6}}}$

☛So , The value of x is 6m...

➥Now ,

$\longmapsto\tt{Length=7(6)}$

$\longmapsto\tt\bold{42}$

$\longmapsto\tt{Breadth=5(6)}$

$\longmapsto\tt\bold{30m}$

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\pink{\sf{Area\:of\:Rectangle=length\times{Breadth}}}}}}}}$

$\longmapsto\tt{42\times{30}}$

$\longmapsto\tt\boxed{1260{m}^{2}}$

☛So , Area of Rectangular Plot is 1260m²...