Question

the length of rectangle is seven times its width the perimeter of the rectangle is 144 meter what is the area of rectangle

Answer 1

$\boxed{\boxed{\mathbf{504 m^2}}}$
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${\underline{\underline{\huge\mathfrak{ANSWER :}}}}$

Let the width of Rectangle be $\bf{x}$

Then its length will be $\bf{7x}$

$\underline\text{We know that,}$

Its perimeter = $\mathbf{144 m}$

$\underline{Now,}$

$\underine\text{Using the Formula,}$

$\boxed{2(length + width) = Perimeter}$

$\underline\text{Putting the Values in the Formula,} \\\underline\text{ We get,}$

$\mathsf{2(7x + x) = 144}$

$\mathsf{=> 2(8x) = 144}$

$\mathsf{=> 16x = 144}$

$\mathsf{=> x = \frac{144}{16}}$

$\mathsf{=> x = 9}$

$\underline\text{Hence,}$

$\mathsf{Width} = \mathbf{9}$

$\mathsf{Length}$ = $\mathsf{ 7(x) = 7 \times 9 = 56}$

Now,

$\underline\text{Using the Formula,}$

$\boxed{\mathsf{Area \: of \: Rectangle = length \: \times width}}$

$\underline\text{Putting the values in the Formula,} \\\underline\text{ We get,}$

$\mathsf{=> 56 \times 9}$

$=> \boxed{\mathsf{504 m^2}}$

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