Question

The length of a rectangle is 11 centimeters less than five times its width. Its area is 36 square centimeters. Find the dimensions of the rectangle.

Answer 1

Width is 4, Length is 9.

Explanation:

l = length of rectangle

w = width of rectangle

system of equations:

I = 5w - 11

l x w = 36

Plug l = 5w into the second equation:

(5w - 11) x w = 36

After solving we should end up with:

w = 4 cm

We can use this to find the length (l) by plugging it into the first equation:

l = 5w - 11

l = 5 x 4 - 11

l = 20 - 11

l = 9 cm