# Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively

( p, q); (10m, 5n); (20x^{2}, 5y^{2}); (4x, 3x^{2}); (3mn, 4np)

**Solution:**

Given: Lengths and breadths of rectangles

We know that,

Area of a rectangle = length × breadth

Area of rectangle = Length × Breadth

Area of 1^{st} rectangle = p × q = pq

Area of 2^{nd} rectangle = 10m × 5n = 10 × 5 × m × n = 50 mn

Area of 3^{rd} rectangle = 20x^{2} × 5y^{2} = 20 × 5 × x^{2} × y^{2} = 100 x^{2} y^{2}

Area of 4^{th} rectangle = 4x × 3x^{2} = 4 × 3 × x × x^{2} = 12x^{3}

Area of 5^{th} rectangle = 3mn × 4np = 3 × 4 × m × n × n × p = 12mn^{2} p

**Video Solution:**

## Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively. ( p, q); (10m, 5n); (20x^{2}, 5y^{2}); (4x, 3x^{2}); (3mn, 4np)

### Maths NCERT Solutions Class 8 - Chapter 9 Exercise 9.2 Question 2

**Summary:**

The areas of rectangles with the following pairs of monomials as their lengths and breadths( p, q); (10m, 5n); (20x^{2}, 5y^{2}); (4x, 3x^{2}); (3mn, 4np) are pq, 50mn, 100 x^{2} y^{2}, 12x^{3 }and 12mn^{2} p