Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
2. Areas of Trapezoids, Rhombuses, and Kites
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Exercise 1 Page 625

The area of a trapezoid is one half the product of the height and the sum of the bases.

42m^2

Practice makes perfect
The area of a trapezoid is one half the product of its height and the sum of its bases. In the given diagram, we can see that the lengths of the bases are 4 and 10 meters and the height is 6 meters.
Since we have the height and the lengths of the bases, we can substitute them into the formula for the area of a trapezoid.
A=1/2h(b_1+b_2)
A=1/2(6)( 4+10)
Evaluate right-hand side
A=1/2(6)(14)
A=(6)(14)/2
A=3(14)
A=42
The area of the trapezoid is 42m^2.