The length of a rectangle is 5 cm longer than its width. find the width given that the area is 36cm

Hi there! The answer is 4 cm.

Let the width of the rectangle be represented by X.
Now we can conclude we can express the length by X + 5.

The area of a rectangle can be found using the formula:
A = W × L = width × length.

Filling in the formula gives us the following:


Work out the parenthesis (for instance using rainbow technique).


Now, when we've found our expression that represents the area, we can set up and solve an equation.


Subtract 36.


Factorise


Rule AB = 0, gives A = 0 or B = 0


Since length can't be negative, the width of the rectangle, which was represented by x, is 4.
The answer is 4 cm.

~ Hope this helps you!