The area of a rectangle is found by multiplying the base times the height. A rectangle with an area represented by 12x2 + 6x – 8 has a height of 4x. What is the base of the rectangle?

Respuesta :

area = L x W

area = 12x^2 +6x-8

width = 4x

L = area/w

L = 12x^2 +6x-8 / 4x

L = 3x+3/2-2/x

The base of the rectangle is 3x + 1.5 - 2/x

How to determine the base?

The given parameters are:

Area = 12x^2 + 6x - 8

Height = 4x

The area is calculated using:

Area =Base * Height

So, we have:

Base * 4x = 12x^2 + 6x - 8

Divide through by 2

Base * 2x = 6x^2 + 3x - 4

Divide through by 2x

Base = 3x + 1.5 - 2/x

Hence, the base of the rectangle is 3x + 1.5 - 2/x

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