Find the area of the trapezoid by composition of rectangle and triangles. A) 30 units2 B) 38 units2 C) 42 units2 D) 54 units2
1 answer:
Answer:
Option C is correct.
The total area of the trapezoid = 42 units²
Step-by-step explanation:
After a little research online, the image missing from the question was obtained and is attached to the solution of this question.
In the trapezoid given, there are two triangles and a rectangle.
Area of rectangle = length × breadth
Length = 6 units
Breadth = 5 units
Area of the rectangle = 6 × 5 = 30 units²
Area of a triangle = ½ × Base × Height
Base = 2 units
Height = 6 units
Area of each of the exactly similar triangles = (1/2) × 2 × 6 = 6 units²
Area of the two similar triangles = 2 × 6 = 12 units²
Total Area of the trapezoid = (Area of rectangle) + (Area of the two triangles)
= 30 + 12 = 42 units²
Hope this Helps!!!
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Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
The length of the cable is approximately 32 feet