Question

The dimensions of a rectangular building are given as a length of 12x + 24 feet and a width of 20x - 10 feet. Write the expression that represents the area of the building, in terms of x.

Answer 1

The expression that represents the area of the building, in terms of x is:

$Area = 240x^2 +360x - 240$

Solution:

Given that,

Dimensions of rectangular building:

Length = 12x + 24 feet

Width = 20x - 10 feet

The area of rectangle is given as:

$Area\ of\ rectangle = length \times width$

Substituting the values we get,

$Area\ of\ rectangle = (12x+24) \times (20x-10)$

Multiply both

$Area = 12x\times \:20x+12x\left(-10\right)+24\times \:20x+24\left(-10\right)\\\\Area = 240x^2 -120x + 480x -240\\\\Area = 240x^2 +360x - 240$

Thus the expression that represents the area of the building, in terms of x is found