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Find the area of the composite shape if the trapezoid has a height of 7 in. Use pi = 3.14

A.80.76 sq in
B.64.13 sq in
C.66.63 sq in
D.26.25 sq in

Find The Area Of The Composite Shape If The Trapezoid Has A Height Of 7 In Use Pi 314 A8076 Sq In B6413 Sq In C6663 Sq In D2625 Sq In class=

Sagot :

Answer:

(C) 66.63 sq in.

Step-by-step explanation:

The composite shape is a trapezoid + semi circle

The formula for area of a trapezoid is:

1/2(b1+b2)h

Where b1 is base 1

Where b2 is base 2

Where h is height

B1 is 6

B2 is 9

h is 7

1/2 (6 + 9) 7

1/2 (15) 7

7.5 x 7

= 52.5

The Semi circle formula is:

pi x r^2 (all divided by 2)

Where pi is 3.14

Where r is radius

The radius is 1/2 the diameter

6/2 = 3

3.14 x 3^2 /2

3.14 x 9 / 2

28.26 / 2

= 14.13

Trapezoid + Semi Circle

52.5 + 14.13

= 66.63 sq in.

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