Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
Chapter Review
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Exercise 18 Page 335

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

6in.^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 we can see, that the height is 3 inches and the bases are 1 12 inches and 2 12 inches. Now we can substitute them into the formula for the area of a trapezoid. Let's do it!

A=1/2h(b_1+b_2)
A=1/2( 3)( 2 12+ 1 12)
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Evaluate right-hand side
A=1/2(3)(2* 2+1/2+1* 2+1/2)
A=1/2(3)(4+1/2+2+1/2)
A=1/2(3)(5/2+3/2)
A=1/2(3)(8/2)
A=1/2(3)(4)
A=1/2*12
A=12/2
A=6

The area of the trapezoid is 6 square inches.