The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?

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Question:

The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?

A. 16x^2-16
B. 20x^2+36x-16
C. 20x^2-4x-16
D. 9x^2-16
Please help, thank you

Answer:

The area of the floor plan is given by the expression 20x² – 4x – 16

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. Also all the angles of a rectangle measure 90 degrees each.

Area of a rectangle = length * breadth

Area of the floor plan = length * breadth

Area of the floor plan = (5x + 4) * (4x – 4)

Area of the floor plan = 20x² – 20x + 16x – 16

Area of the floor plan = 20x² – 4x – 16

The area of the floor plan is given by the expression 20x² – 4x – 16.

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