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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Question 3 Find the area of the parallelogram below 55 ft 4 ft 1 60 HINT Find the height using TRIGONOMETRY Round to the nearest hundredth A feet squared Back N class=

Respuesta :

Answer:

Area = 19.05 feet squared

Step-by-step explanation:

By applying sine rule in ΔABC,

sin(∠CAB) = [tex]\frac{\text{Opposite side }}{\text{Hypotenuse}}[/tex]

sin(60°) = [tex]\frac{BC}{AC}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{BC}{4}[/tex]

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.

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