Question

The perimeter of rectangle is 400 m . if the sides are in ratio 7:3 . find the area​

Answer 1

Answer:

• Perimeter of rectangle = 400 m
• Sides are in ratio of 7 : 3
• Area of rectangle = ?

Let the sides of rectangle be 7x and 3x

• Perimeter of the rectangle :

⇒ Perimeter = 2(Length + Breadth)

⇒ 400 m = 2(7x + 3x)

⇒ 400 m = 2 × 10x

⇒ 400 m = 20x

⇒ 400 m/20 = x

⇒ x = 20 m

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• Area of the rectangle :

⇢ Area = Length × Breadth

⇢ Area = 7x × 3x

⇢ Area = 21x²

• Putting value of x

⇢ Area = 21(20 m)²

⇢ Area = 21 × 400 m²

⇢ Area = 8,400 m²

∴ Hence, area of the rectangle is 8,400 m².