Question

The area of a rectangle is 30m11n5 square units. If the length of the rectangle is 6m^n2 units, how many units wide is

Answer 1

Given:

The area of a rectangle = $30m^{11}n^{5}$

Length of the rectangle = $6m^4n^2$

To find:

The width of the rectangle.

Solution:

Area of a rectangle is:

$A=l\times w$

Where, l is the length and w is the width of the rectangle.

Divide both sides by l.

$\dfrac{A}{l}=w$

$w=\dfrac{A}{l}$

On substituting the given values, we get

$w=\dfrac{30m^{11}n^{5}}{6m^4n^2}$

$w=5m^{11-4}n^{5-2}$           $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$w=5m^{7}n^{3}$

Therefore, the correct option is A.