Question

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.
$1.(p,q)$

$2.(10m,5n)$

$3.(20x^2,5y^2)$

$4.(4x,3x^2)$

$5.(3mn,4np)$

Answer 1

Area of rectangle $=\text{length}\times \text{breadth}$

$1.$ Area of rectangle $=p\times q=pq$ sq units

$2.$ Area rectangle $=\left(10m\right)\times 5n=50mn$ sq. units

$3.$ Area rectangle $=\left(20x^2\right)\times 5y^2=100x^2{y}^2$ sq units

$4.$ Area rectangle $=4x\times 3x^2=12x^3$ sq. units

[Since, $a^m\times a^n=a^{m+n}$]

$5.$ Area rectangle $=\left(3mn\right)\times 4np=12m{n}^{2}p$ sq units