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Sagot :
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
What is Geometrical figure?
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
Find out more about 'Area of rectangle' here:
https://brainly.com/question/13163974
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