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ANSWER
The area of a rectangle is 36 square cmNSWER
STEP-BY-STEP EXPLANATION:
What to find? The area of a rectangle
Given parameters;
The diameter of the semicircle = 8cm
The total height of the figure = 12cm
The height of the trapezoid = 3.5cm
NB: The figure comprises a semi-circle, rectangle, and a trapezoid.
Area of a rectangle = Length x width
According to the question, the diameter of the semicircle is the same as the width of the rectangle
Hence, the width of the rectangle is 8cm
To find the area of the rectangle, we need to get the length of the rectangle
The total height of the figure = 12cm
The height of the semi-circle is the radius of the semicircle
Radius = Diameter / 2
Radius = 8/2
Radius = 4cm
The length of the trapezoid = 3.5cm
Hence,
Length of the rectangle = Total height - (Length of the trapezoid + radius of the semicircle)
Lenght of the rectangle = 12 - (3.5 + 4)
Length of the rectangle = 12 - 7.5
Length of the rectangle = 4.5cm
Area of a rectangle = Length x width
Area of a rectangle = 4.5 x 8
Area of a rectangle = 36 square cm
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