#### Question

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

We know that,

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

Is there an error in this question or solution?

Solution Find the Areas of Rectangles with the Following Pairs of Monomials as Their Lengths and Breadths Respectively (P, Q); (10m, 5n); (20x2, 5y2); (4x, 3x2); (3mn, 4np) Concept: Multiplying a Monomial by a Monomial - Multiplying Three Or More Monomials.