The ratio of length and breadth of a rectangle is 5 : 4. The perimeter

1.	The ratio of length and breadth of a rectangle is 5 : 4. The perimeter of the rectangle is 54 cm. Find the area of the rectangle.1. 180 cm22. 160 cm23. 210 cm24. 280 cm2
Answer» Correct Answer - Option 1 : 180 cm² Given: The ratio of length and breadth of a rectangle = 5 : 4 The perimeter of the rectangle = 54 cm Formula Used: Perimeter of rectangle = 2 × (l + b) Area of rectangle = lb Calculations: Let the length and breadth of the rectangle be 5x and 4x respectively. The perimeter of the rectangle = 54 cm Perimeter of the rectangle = 2 × (l + b) ⇒ 2 × (5x + 4x) = 54 ⇒ 9x = 27 ⇒ x = 3 cm Now, Length of the rectangle = 5 × 3 = 15 cm Breadth of the rectangle = 4 × 3 = 12 cm Area of the rectangle = 15 × 12 ⇒ Area of the rectangle = 180 cm² ∴ The area of rectangle is 180 cm2.

The ratio of length and breadth of a rectangle is 5 : 4. The perimeter of the rectangle is 54 cm. Find the area of the rectangle.1. 180 cm22. 160 cm23. 210 cm24. 280 cm2

Answer» Correct Answer - Option 1 : 180 cm²

Given:

The ratio of length and breadth of a rectangle = 5 : 4

The perimeter of the rectangle = 54 cm

Formula Used:

Perimeter of rectangle = 2 × (l + b)

Area of rectangle = lb

Calculations:

Let the length and breadth of the rectangle be 5x and 4x respectively.

The perimeter of the rectangle = 54 cm

Perimeter of the rectangle = 2 × (l + b)

⇒ 2 × (5x + 4x) = 54

⇒ 9x = 27

⇒ x = 3 cm

Now, Length of the rectangle = 5 × 3 = 15 cm

Breadth of the rectangle = 4 × 3 = 12 cm

Area of the rectangle = 15 × 12

⇒ Area of the rectangle = 180 cm²

∴ The area of rectangle is 180 cm2.

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