Question

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

Answer 1

(i) $\text{Area of rectangle}=\text{length}\times \text{breadth}$
$=p\times q=pqsq.units$
(ii) $\text{Area of rectangle}=\text{length}\times \text{breadth}$
$=10m\times 5n=10\times 5m\times n=50mn\text{sq.units}$
(iii) $\text{Area of rectangle}=\text{length}\times \text{breadth}$
$=20x^2\times 5y^2=(20\times 5)(x^2\times y2)=100x^2{y}^{2}sq.units$
(iv) $\text{Area of rectangle}=\text{length}\times \text{breadth}$
$=4x\times 3x^2=(4\times 3)(x\times x^2)=12x^{3}sq.units$
(v) $\text{Area of rectangle}=\text{length}\times \text{breadth}$
$=3mn\times 4np=(3\times 4)(mn\times np)=12m{n}^{2}psq.units$