Question

The base of a rectangle is 6cm longer than its height. The area of a rectangle is 91cm squared. What is the perimeter of the rectangle?

Answer 1

Width = 7cm

Length = 13cm

Explanation:

Area of rectangle =  $91cm^{2}$

Let width of the rectangle = b ,  

So, length = b+6

Area of rectangle = (length X width) - eqn 1

Putting the value of length and width in above equation 1,

$91cm^{2} = b (b+6)\\91 = b^{2}+6b\\b^{2} + 6b-91 = 0$

On solving the quadratic equation we get,

b = 7cm

So, width (b) = 7cm

and length = 7+6

l = 13cm

Hence,  

Width = 7cm

Length = 13cm