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1 answer:
Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = × d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° =
tan60° = =
=
( multiply both sides by 6 )
opp = 6 , then
d₂ = 2 × 6 = 12
Thus
A = × 12 × 12
= 6 × 12
= 72
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Given:
Trapezoid with bases 10 and 20, and height of the trapezoid is 6.
To find:
The area of the trapezoid.
Solution:
We know that the area of a trapezoid is:
Where, h is the height of the trapezoid and are bases of the trapezoid.
Putting in the above formula, we get
The area of the trapezoid is 90 sq units. Therefore, the correct option is A.