What is the area of this figure? Use 3.14 for π.A shape made up of a rectangle of the left and a semicircle on the right.

What is the area of this figure? Use 3.14 for π.A shape made up of a rectangle of the left and a semicircle on the right. The rectangle has a width of 15 meters and a height of 12 meters.



we know that

The perimeter of the figure is equal to the perimeter of a rectangle plus the circumference of a semicircle minus the diameter of the circle

so

Find the perimeter of the rectangle

The perimeter of the rectangle is equal to

P = 2 (L + W)

substitute the values

P = 2 (15 + 12) = 54 m

Find the circumference of a semicircle

The circumference of a semicircle is equal to

C = `\pi`rC

substitute the value of r

r = `12/2` = 6 m-----> the radius is half the diameter

C = (3.14) (6) = 18.84 m

Find the perimeter of the figure

54 m + 18.84 m - 12 m

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