What is the area of the trapezoid shown? Express your answer in simplest exact form.

To find the height:

1. Make a right triangle

2. Use the law of sine to find the length of the long leg (height)

sin 60° = O/H = x/2

Put in 60 in your calculator and then click "sin"

0.8660/1 = x/2

Cross multiply

x = 1.7320

To find the 2nd base:

Multiply 2x2 to get 4

To find the area:

4. Use the formula to find the area

A = 2+4/2 (1.7320)

Add 2 and 4, then divide by 2

A = 3(1.7320)

Multiply

A = 5.196

Answer:

5.196

Rounded: 5.2

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step-by-step explanation: