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

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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C. 20x² + 4x - 16  

Step-by-step explanation:

The area of the rectangle is

A  = lw = (5x + 4)(4x - 4) = (20x² + 4x - 16) ft²

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have