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.​

Answer 1

Let the side of square field as a

a² = 5184 m²

a = √5184m

a = 2 × 2 ×2×9

= 72 m

Perimeter of square = 4a

= 4(72)

= 288 m

Perimeter of rectangle = 2 (l + b) = perimeter of the square field

= 288 m

2(2b + b) = 288

b = 48 and 196

Area of rectangle = 96 x 48 m²

= 4608 m²

Answer 2

Answer♡

given,

the area of square is=5184m²

s×s=5184

s²=5184

s=√5184

s=72

according to problem,

l=2x

b=x

we know that,

perimeter of square=perimeter of rectangle

4s=2(l+b)

4×72=2(2x+x)

288=6x

x=288/6

x=48

from problem,

l=2x

=2×48

=96

b=x

=48

therefore length is 96

breadth is 48

area of rectangle = l × b

= 96 × 48

=4608 m²

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