Question

The area of a square field is 5184 m². A rectangular field, whose length is twice its breadth, has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
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Answer 1

Answer:

The area of the square field = 5184 sq m.

Each side of the square field = 5184^0.5 = 72 m.

Perimeter of the square field = 4*72 = 288 m.

Perimeter of the rectangular field = 288 m.

Length of the rectangular field is 2B, where B = breadth of the field.

Hence 2(2B+B) = 288, or

3B = 288/2 = 144, or

B = 144/3 = 48 m so length = 2*48 = 96 m.

Area of the rectangular field = 96 * 48 = 4608 sq m.

Answer 2

Given:

area of square = 5184m

∴ Side of square = √5184 = 72m

The perimeter of square = 4×72 = 288m

Let breadth of rectangle =xm

∴ Length of rectangle =2xm

Now, perimeter of rectangle= Perimeter of a square

⇒2(l+b)=288m

⇒2(2x+x)=288

⇒x = 388/6 =48m

∴ Length =2×48=96m

Breadth = 48 m

Therefore area of rectangle = l x b

=> 96 × 48 = 4608m²