9514 1404 393
Answer:
70 square inches
Step-by-step explanation:
Forget the coloring and look at the outline of the figure. You see it is a trapezoid with bases 6 in (top) and 8 in (bottom). The height is given as 10 in.
The area formula for a trapezoid is ...
A = (1/2)(b1 +b2)h
A = (1/2)(6 in +8 in)(10 in) = (1/2)(14)(10) in²
A = 70 in²
The area of the figure is 70 square inches.
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<em>Alternate solution</em>
You can add the areas of the two triangles. The area of each is ...
A = (1/2)bh
Gray triangle: A = (1/2)(8 in)(10 in) = 40 in²
Brown triangle: A = (1/2)(6 in)(10 in) = 30 in²
Total area = 40 in² + 30 in² = 70 in²
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If you're paying attention to the formulas, you see that the "alternate solution" computes ...
A = (1/2)(b1)h + (1/2)(b2)h = (1/2)(b1 +b2)h . . . . . trapezoid formula
