Problema Solution

The perimeter of a rectangle is 42m , and the area of the rectangle is 90m^2 . Find the dimensions of the rectangle

Answer provided by our tutors

Let length of rectangle=l meter and width of rectangle=w meter.

So, 2(l+w)=42

l+w=21---equation-1

And lw=90- ---equation-2

 

Plugging l=21-w in second equation.

(21-w)w=90

21w-w^2=90

w^2-21w+90=0

(w-15)(w-6)=0

w=15 and 6

Dimension is width=15 or 6 and length=6 or 15.