Question

19. Find the perimeter of a square field having
twice the area of a rectangular field of length
25 m and breadth 8 m.​

Answer 1

Perimeter Of Square = 80 cm

Step-by-step explanation:

GIVEN

Area Of Square = 2 × Area Of Rectangle

Length = 25 m

Breadth = 8 m

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TO FIND

Perimeter Of Square

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We know that,

Area Of Rectangle = Length × Breadth

Area Of Rectangle = 25 × 8

Area Of Rectangle = 200

Area Of Rectangle = 200 cm²

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We know that,

Area Of Square = 2 × Area Of Rectangle

Area Of Square = 2 × 200

Area Of Square = 400

Area Of Square = 400 cm²

We know that,

Area Of Square = Side²

400 = Side²

Side = √400

Side 20

Side = 20 cm

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Perimeter Of Square

We know that,

Perimeter Of Square = 4 × Side

Perimeter Of Square = 4 × 20

Perimeter Of Square = 80

Perimeter Of Square = 80 cm