If the area of the trapezoid below is 75 square units, the value of x is 6 units, the correct option is B.
What is the trapezoid?
A trapezoid is a four-sided closed shape or figure which covers some area and also has its perimeter.
From the diagram attached to the question:
Length AB = 17
Length DC = 8
height (h) = x
Area of trapezium = 75sq units
The Area (A) of a trapezium is given by:
Area = (1/2) × (a + b) × h
Where; a and b are the upper and base lengths of the trapezium, h = height of trapezium.
The value of x is;
A = (1/2) × (a + b) × h
75 = (1/2) * (17 + 8) * x
75 = 0.5*25*x
75 = 12.5x
x = 75 / 12.5
x = 6 units
Hence, the value of x is 6 units, the correct option is B.
Learn more about trapezoids here;
brainly.com/question/17093847
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