Question

The area of the square field is 576m^2.A rectangle field whose length is twice its breath has perimeter equal to the perimeter of the square field. Find the area of rectangular field.

Answer 1

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Answer 2

$\huge{\bold{\underline{Solution-:}}}$

$\implies$ $\bold{Area\ of\ square = 576 m^2 }$

${a}^{2} = 576 \\ \\ a = \sqrt{576}$

a = 24

Perimeter = 4a

$\implies$ 4 × 24

$\implies$ 96

$\bold{\underline{According\ to\ question}}$

$\bold{Perimeter\ of\ square = Perimeter\ of\ rectangle}$

$\implies$ 96 = Perimeter of rectangle

Let its Breadth be x

So, Length = 2x

$\bold{\underline{Perimeter\ of\ rectangle}}$ = 2(L + B)

2(L + B) = 96

2(2x + x) = 96

6x = 96

x = $\dfrac{96}{6}$

x = 16

2x = 32

$\bold{\underline{ The\ area\ of\ rectangle}}$ = L × B

16 × 32 = 512

$\boxed{\bold{Area\ of\ rectangular\ field = 512m^2}}$