A painting is 20 cm wider than its height. Its area is 2400 cm^2. Find the width and the height of the painting.

Question

Please help me find the width and the height. I would appreciate it very much.

Answer 1

x² + 20x - 2400 = 0

 

(x + 60)(x - 40) = 0

 

can't use x = -60 as mentioned, measurements must be positive

 

so height = 40 and the width = 60 (20 more)

 

Answer 2

Let x = height, then (x + 20) = width. Recall that A = LW (hw in this wording)

 

x(x + 20) = 2400

 

x² + 20x - 2400 = 0

 

Factor, recall that measurements are positive nmbers.

 

A²