Find the area of the trapezoid shown.
39√3 sq.units, 43.5 sq.units, 43.5√3 sq.units

Solution:

Given, a = 16 units

b = 10 units

We have to find the area of the trapezoid.

Area of trapezoid = 1/2(a + b) × h

To find h,

From the figure,

tan 60°= h/3

√3 = h/3

h = 3√3 units

So, area = 1/2(16 + 10) × (3√3)

= 1/2(26) × (3√3)

= 13 × 3√3

= 39√3 square units.

Therefore, the area of the trapezoid is 39√3 square units.

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Find the area of the trapezoid shown.

Summary:

Area of the trapezoid is 39√3 square units.