The ratio of the length and breadth of a rectangle is 6 : 5 and its ar

1.	The ratio of the length and breadth of a rectangle is 6 : 5 and its area is 6,750 cm2. Find the ratio of the breadth to the area of the rectangle.1. 1 : 802. 1 : 843. 1 : 1004. 1 : 90
Answer» Correct Answer - Option 4 : 1 : 90 Given: Ratio of length and breadth of rectangle = 6 : 5 Area of rectangle = 6750 cm² Formula used: Area of rectangle = Length × Breadth Calculation: Let the length and breadth be 6x and 5x respectively According to question, 6x × 5x = 6750 cm² ⇒ 30x²= 6750 cm² ⇒ x² = 225 cm² ⇒ x = 15 cm Breadth = 5 × 15 cm ⇒ 75 cm Required ratio = 75 cm : 6750 cm² ⇒ 1 : 90 ∴ The ratio of its breadth and area is 1 : 90

The ratio of the length and breadth of a rectangle is 6 : 5 and its area is 6,750 cm2. Find the ratio of the breadth to the area of the rectangle.1. 1 : 802. 1 : 843. 1 : 1004. 1 : 90

Answer» Correct Answer - Option 4 : 1 : 90

Given:

Ratio of length and breadth of rectangle = 6 : 5

Area of rectangle = 6750 cm²

Formula used:

Area of rectangle = Length × Breadth

Calculation:

Let the length and breadth be 6x and 5x respectively

According to question,

6x × 5x = 6750 cm²

⇒ 30x²= 6750 cm²

⇒ x² = 225 cm²

⇒ x = 15 cm

Breadth = 5 × 15 cm

⇒ 75 cm

Required ratio = 75 cm : 6750 cm²

⇒ 1 : 90

∴ The ratio of its breadth and area is 1 : 90

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The ratio of the length and breadth of a rectangle is 6 : 5 and its area is 6,750 cm2. Find the ratio of the breadth to the area of the rectangle.1. 1 : 802. 1 : 843. 1 : 1004. 1 : 90

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