Question

The area of a square field is 5184msquare. Find the area of a rectangular field, whose perimeter is equal to the perimeter of the square field and whose length is twice of its breadth.

Answer 1

$hey \: mate \: \\ here \: is \: your \: answer \\ \\the \: area \: of \:square \: is \: {a}^{2} \\ {a}^{2 } = 5184 \\ a = 72 \\ from \: this \: one \: we \: get \: the \: perimeter \\ \: of \: square \: which \: is \: not \: given \\ \\ the \: perimeter \: of \: square \: is \: 4a \\ 4 \times 72 = 288 \: \\ we \: got \: the \: perimeter \: which \: is \\ \: similar \: to \: the \: perimeter \: of \: \\ rectangle \: too \\ \\ the \: perimeter \: of \: rectangle \: is \: \\ equal \: to \: 2(l + 2l) \\ 2(l+ 2l) = 288 \\ (l +2l) = 144 \: \: 3l=144\: l=48\: \\l=48,b=2×48=96\\ \\ area \: of \: rectangle \: is \: (l×b) \: (48×96) \: \\ =\: 4608 \: answer \: hope \: this \: can \: help \: you \:\\ out$

Answer 2

Here is your solution

Given :-

Area of square = 6889 m^2

we have to find perimeter of square =?

Now

Area of square = side^2

=>5184 m^2 = side^2

=>72m =side of square

Now

perimeter of square => 4× side .
=> 4×72=288m

Now,

Let,
The breadth of rectangle be x

Then the length be 2x

As we know that,

 perimeter of a rectangle =2(length+breadth)

And, perimeter of square = perimeter of rectangle = 288m 

288 = 2(x + 2x)

288/2 = 3x

144 = 3x

144/3 =x

48 = x

Then,

breadth of rectangle = x = 48 m 

and length of rectangle = 2x = (2×48) = 96m 

Now,

Area of rectangle = length×breadth

Here,

Area of rectangle =  48×96 

Area of rectangle =4608 m^2

Hopeit helps you