Big Ideas Math: Modeling Real Life, Grade 6
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3. Areas of Trapezoids and Kites
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Exercise 18 Page 303

To find the area of the trapezoid, calculate one half the product of the height and the sum of the bases.

10cm^2

Practice makes perfect
Let's find the area of the given trapezoid. The area of a trapezoid is one half the product of the height and the sum of the bases. In the given trapezoid, the height is 4 centimeters and the bases are 3 12 centimeters and 1 12 centimeters. We can substitute these values into the formula for the area of a trapezoid. Let's do it!
A=1/2h(b_1+b_2)
A=1/2* 4* ( 3 12+ 1 12)
Evaluate right-hand side
A=1/2* 4* (5)
A=1/2* 20
A=20/2
A=10
The area of the trapezoid is 10 square centimeters.