Question

Any one like polynomials?

i'll be putting 100 points out for whoever answers it.


The dimensions of a rectangular building used to store tools for electrical lineman has 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.
Write the expression that represents the perimeter of the building, in terms of x.
If the perimeter is going to be 220 feet, what are the dimensions of the building.

Answer 1

2o.x that the anwers shs

Answer 2

Area: 240x² - 72x - 240

Perimeter: 64x + 28

Dimensions: l = 60, w = 50

Explanation:

For Area:

Multiply length by width.

(12x + 24) • (20x - 10)

Let's foil this out (first, outer, inner, last)

240x² - 120x + 48x - 240

Simplify.

240x² - 72x - 240

For Perimeter

Remember that a rectangle has two sets of matching parallel sides.

Let's write out our equation.

2(12x + 24) + 2(20x - 10)

Distribute and break it down.

24x + 48 + 40x - 20

Simplify.

64x + 28

Perimeter For Given Value

Now we'll solve for if the perimeter was 220 feet.

Let's use the perimeter equation from above to find x.

64x + 28 = 220

64x = 192

x = 3

Now that we know x is 3, we'll substitute it into the equations in your question.

12(3) + 24 20(3) - 10

36 + 24 60 - 10

60 50

The length is 60ft and the width is 50 ft.