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

Geometric shapes are the mathematical figures that show how ordinary objects in our world are shaped. Shapes in geometry are the configurations of things with boundary lines, angles, and surfaces.

According to the given Information:

Length of the rectangular patio is (x+25).

Width of the rectangular patio is (x+15).

Length of bench is 5.

Width of the bench is 1.

Area of rectangle:

Area of a rectangle is:

A = Length x Width

Area of rectangular patio is:

A[tex]_1[/tex] = (x + 25)(x + 15)

Area of bench is:

A[tex]_2[/tex] = 10 x 3

= 30

The painting area is:

A = A[tex]_1[/tex] - A[tex]_2[/tex]

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

Therefore, the correct option is D.

An equation to determine the area, a, of the patio that will be painted :

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

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