Question

The area of a square field is 5184 m*2 a rectangular field whose length is twice it's breadth has its perimeter equal to the perimeter of the square field find the area of the rectangular field

Answer 1

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ATQ,

The perimeter of the square field = perimeter of the rectangular field.

Given

• area of the square field = 5184 units²

formula for the area of a square is side × side or side²

therefore side² = 5184 units².

side = √5184

side = 72 units

the side of the square field is 72 units

formula to find the perimeter of a square is 4 × side (since it has 4 equal sides)

perimeter of the square field = 4 × 72

= 288 units

perimeter of the rectangular field is also 288 units.

let the breadth of the rectangular field be x

therefore it's length 2x.

perimeter of the rectangle = 2(l + b)

2(l + b) = 288 units

2x + x = 288/2

3x = 144

x = 144/3

x = 48 units

• breadth of the rectangular field = x = 48 units

• length of the rectangular field = 2x = 2 × 48 = 96 units

hence, it's area = l × b

= 48 × 96

= 4608 units²

Answer 2

Answer:4608

Explanation: