Question

The length and width of a rectangle are in the ratio 3:2 .If the perimeter is 100 cm, what is the area of the rectangle

Answer 1

600 cm²

Explanation:

We know that:

• 
  `Length:Breadth = 3:2`

Solution:

• 
  `Length:Breadth = 3:2`
• =>
  `Length:Breadth = 3x:2x`
• =>
  `3x + 2x + 3x + 2x=100 cm`
• =>
  `10x=100 cm`
• =>
  `x = 10 cm`
• =>
  `Length = 30 cm`
• =>
  `Breadth = 20cm`
• =>
  `Area_(rectangle) = 30(20) cm^(2)`
• =>
  `Area_(rectangle) = 600 cm^(2)`

Hoped this helped!