Question

A painting is 20 cm wider than the height and 576 cm² write a representation using variable x ​

Answer 1

For x = height:

x(x + 20) = 576.

Explanation:

The area is 576 cm^

Area = width * height

Let the height be x, then the width is (x + 20) cm

So the expression for the area can be written

x(x + 20) = 576.

Answer 2

x² + 20x - 576 = 0

Explanation:

If x is height:

width = (20 + x)

area = width x height

576 = (20 + x) x x

576 = 20x + x²

∴ x² + 20x - 576 = 0