Question

Perimeter of a rectangular field 50 m long and 30 m
wide is equal to the perimeter of a square field. Find
the area of the square field.​

Answer 1

Answer:

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Answer 2

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• Length of the rectangular field = 50 m

• Width of the rectangular field = 30 m

• Perimeter of the rectangular field is equal to perimeter of the square field.

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• What's the area of the field?

Formula to be used :-

• Perimeter of rectangular field

= 2( Length + Width )

• Perimeter of square field = 4 × Side

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Given that,

Perimeter of the rectangular field is equal to perimeter of the square field.

Therefore,

Perimeter of rectangular field

= 2( Length + Width )

= 2(50+30) cm

= 160 cm

Again,

Perimeter of square field

= 4 × side cm

According to the question :-

Perimeter of rectangular field = Perimeter of square field

⟶ 4x = 160

⟶ x = 40

____________________________________________________

Now, find area of square

⟶ Area of square field

= side²

= (40)² cm²

= 1600 cm²

Hence, the area of the square field is 1600 cm².