The length and breadth of a rectangle are in the ratio 5 : 3. If the l

1.	The length and breadth of a rectangle are in the ratio 5 : 3. If the length is 8 m more than the breadth. What is the area of the rectangle?1. 240 m22. 360 m23. 400 m24. 380 m2
Answer» Correct Answer - Option 1 : 240 m² Ans: 1 Given: The length and breadth of a rectangle are in the ratio 5 : 3. the length is 8 m more than the breadth. Formula used: area of rectangle = length × breadth Calculation: The ratio of length and breadth of rectangle = 5 : 3 ⇒ length of rectangle = 5x, breadth of rectangle = 3x ⇒ 5x - 3x = 8 ⇒ 2x = 8 ∴ x = 4 length of rectangle = 5x = 5 × 4 = 20 m breadth of rectangle = 3x = 3 × 4 = 12 m area of rectangle = length × breadth ⇒ 20 × 12 = 240 m²

The length and breadth of a rectangle are in the ratio 5 : 3. If the length is 8 m more than the breadth. What is the area of the rectangle?1. 240 m22. 360 m23. 400 m24. 380 m2

Answer» Correct Answer - Option 1 : 240 m²

Ans: 1

Given:

The length and breadth of a rectangle are in the ratio 5 : 3.

the length is 8 m more than the breadth.

Formula used:

area of rectangle = length × breadth

Calculation:

The ratio of length and breadth of rectangle = 5 : 3

⇒ length of rectangle = 5x, breadth of rectangle = 3x

⇒ 5x - 3x = 8

⇒ 2x = 8

∴ x = 4

length of rectangle = 5x = 5 × 4 = 20 m

breadth of rectangle = 3x = 3 × 4 = 12 m

area of rectangle = length × breadth

⇒ 20 × 12 = 240 m²