Question

Question 3

Find the area of the parallelogram below.
5.5 ft
4 ft
1
/60"
HINT: Find the height using TRIGONOMETRY. Round to the nearest hundredth.
A =
feet squared
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Answer 1

Area = 19.05 feet squared

Explanation:

By applying sine rule in ΔABC,

sin(∠CAB) =
`\frac{\text{Opposite side }}{\text{Hypotenuse}}`

sin(60°) =
`(BC)/(AC)`

`(√(3))/(2)=(BC)/(4)`

BC = 2√3

Area of a parallelogram is given by the formula,

Area = Base × Height

= 5.5 × 2√3

= 11√3

= 19.05 ft²

Therefore, answer is Area = 19.05 ft squared.