You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed.
Estimate the cost of having a 18 by 22 ft brick patio installed.

Respuesta :

Answer:

$3003

Step-by-step explanation:

Installation cost of 15 ft * 20 ft brick patio = $2275

In other words, Installation cost of 300 square feet brick patio = $2275

So the cost of 1 square feet brick patio = [tex]\[\frac{2275}{300}\][/tex]

= $7.5833

Now to install a 18 ft * 22 ft patio, its area = 396 square feet

Cost of installing a 396 square feet patio = 396 * $7.5833 = $3003 ( approx)

This is cost that needs to be paid for the extended patio.

You can use the fact that cost of brick patio depends on the area. Thus, you can calculate the cost of 1 square foot brick patio installation and use that to get the needed cost.

The cost of having a 18 feet by 22 feet brick patio installed is

$3002.98

How is the brick patio rate calculated?

The cost of brick patio depends on the area on which it is going to be installed.

How to calculate the cost of having a 18 by 22 ft brick patio installed?

You can calculate the cost of 1 square foot brick patio installation and use that to get the needed cost.

It is given that cost of 15 ft by 20 ft brick patio installation is $2,275.

Assuming the rate being constant, the area of the brick patio installation place can be calculated by area of rectangle with side 15 feet and 20 feet

The area is [tex]15 \times 20 = 300 \: \rm feet ^2[/tex]

Thus, we have:

[tex]300 \: \rm feet^2 = \$2275\\\\\text{dividing by 300 on both the sides to get 1 sq feet installation rate}\\\\1\: feet^2 = \dfrac{2275}{300} = \$7.583\overline{3}[/tex]

Since the needed area is now 18 ft by 22 ft, thus, its area is

[tex]18 \times 22 = 396 \: \rm feet^2[/tex]

Thus, using the above rate, we have:

[tex]1\: \rm feet^2 = \dfrac{2275}{300} = \$758.3\overline{3}\\\\386 \: feet^2 = \$7.583\overline{3} \times 396 = \$3002.98[/tex]

Thus,

The cost of having a 18 feet by 22 feet brick patio installed is $3002.98

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