A patio is made of two sections. One is shaped like a trapezoid, and the other like a semicircle. The bases of the trapezoid are 12 feet and 8 feet. The height of the trapezoid is 4 feet. The diameter of the semicircle is the same as the trapezoid's shorter base. Find the patio's area. Use 3.14 for pi.

65.12 ft^2

Step-by-step explanation:

Patio's area = area of trapezoid + area of semicircle

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

1/2 x ( 12 + 8) x 4 = 40 ft^2

Area of semicircle =  (1/2)πr²

r = 8/2 = 4ft

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(1/2) x 3.14 x 4^2 = 25.12 ft^2

Area of patio = 40 ft^2 +  25.12 ft^2  = 65.12 ft^2

t = 40

25.12

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step-by-step explanation: