Properties of linear parent function f(x)=X: The domain and range are the set of all real numbers.
The area of the polygon is 25.5 square units
<h3>How to determine the area of the polygon?</h3>
From the figure, we have the following coordinates
A = (-2, 1)
B = (3, 2)
C = (5, -3)
D = (-1, -3)
The area of the polygon is then calculated as:
A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|
Substitute the known values in the above equation
Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3 - 5 * 2) + (5 * -3 + 1 * -3) + (-1 * 1 + 2 * -3)|
Evaluate the sum of products
Area = 0.5 * |-51|
Remove the absolute bracket
Area = 0.5 * 51
Evaluate the product
Area = 25.5
Hence, the area of the polygon is 25.5 square units
Read more about areas at:
brainly.com/question/25292087
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Option B
The volume of sand he will need to fill half of the sandbox is 55.35 cubic feet
<em><u>Solution:</u></em>
<em><u>The volume of rectangular prism is given as:</u></em>

From given,
Area of base = 49.2 square feet
Height = 2.25 feet
<em><u>Substituting the values we get,</u></em>

Thus volume of sand box is 110.7 cubic feet
Mr. Berger plans to fill the sandbox half full of sand
So find half the volume
volume of sand he will need to fill half of the sandbox is given as:

Thus the volume of sand he will need to fill half of the sandbox is 55.35 cubic feet