Lengh of a Rectangle

Question

(1 point) The length of a rectangle is 9m longer than its width and the area of the rectangle is 280 m2.  Find the exact dimensions of the rectangle.

Find the dimensions in cm

Answer 1

Let the width = x

 

Then the length = x + 9

 

Area of a rectangle = length x width

 

A = x(x + 9) = 280

 

x² + 9x = 280

 

x² + 9x - 280 = 0

 

Solve this quadratic to determine the dimensions of the rectangle. Remember that dimensions cannot be negative.