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:

Step-by-step explanation:

Given,

The area of the Square = 5184 m²

Rectangular field whose ; length is twice its breadth.

First we need to find the measure of the side of the square.

Consider the measure of the side as x

★ As we know:

Area of square=side×side

x × x = 5184

x^2=5184

x=root of 5184

x=72

Side of the Square = 72 m

★ Perimeter of square= side×4

----------> 72×4

----------> 288

Perimeter of the Square = 288 m

As given in the question,

Perimeter of Rectangle = Perimeter of Square.

The Length is twice the Breadth.

So,

Consider Breadth as x

Length as 2x

★Perimeter of Rectangle= 2(length+breadth)

-----> 288=2 (x+2x)

-----> 288= 2x+4x

-----> 288= 6x

-----> x= 288/6

-----> x= 48

Breadth = 48

Value of 2x= 2×48 =96

★ Area of Rectangle = length×breadth

=48×96

=4608

The area of the Rectangle is 4608 m².

Answer 2

Answer:4608

Step-by-step explanation: