Question

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3

Write an equation to determine the area, A, of the patio that will be painted.

A = (x + 18)(x + 35)
A = (x + 15)(x + 25) + 30
A = (x + 5)(x + 22)
A = (x + 25)(x + 15) − 30

Answer 1

Answer:

The answer to your question is Area = (x + 25)(x + 15) - 30

Step-by-step explanation:

Data

Patio                                     bench

base = x + 25                       base = 10

height = x + 15                      height = 3

Process

1.- Calculate the area of the patio considering the bench

Area 1 = (x + 25)(x + 15)

2.- Calcula the area of the bench

Area 2 = 10 x 3 = 30

3.- Calculate the area of the patio

Area = Area 1 - Area 2

-Substitution

Area = (x + 25)(x + 15) - 30

Answer 2

The equation to determine the area (A) of the patio that will be painted will be A = (x + 15)(x + 25) − 30.

What is the area of the rectangle?

Area of a rectangle is the product of its length and width.

If a rectangle has a length of L units and a width of W units, then

Area = L × W squared units

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted rectangle with a length of (x + 25) and width of (x + 15) with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3.

Then the area of the corner bench will be

Area of bench = 3 x 10

Area of bench = 30 square units

Then the equation to determine the area (A) of the patio that will be painted will be

A = (x + 15)(x + 25) − 30

Thus, the correct option is D.

Learn more about the area of a rectangle here:

https://brainly.com/question/4887838

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