Question

Nick's rectangular bedroom has a length of (2x−5) and a width of (x+1). Which equation describes the area, A, of Nick's bedroom in terms of x?

Answer 1

A = 2x²-3x-5

Explanation:

Given that,

The length of the bedroom, l = (2x-5)

Width of the bedroom, b = (x+1)

We need to find an equation for the area of the bedroom. We know that,

Area of a rectangle = lb

Put all the values,

A = (2x-5)(x+1)

= 2x²+2x-5x-5

= 2x²-3x-5

Hence, the area of the bedroom is equal to 2x²-3x-5.