9514 1404 393
Answer:
51 square inches
Step-by-step explanation:
This can be considered a couple of ways:
- a 6 in × 7 in rectangle with a 6 in × 3 in triangle added on
- a 6 in × 13 in rectangle with a 6-in high trapezoid cut from the lower right corner.
The formulas for areas of these figures are ...
A = 1/2bh . . . . area of triangle with base b and height h
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h
A = bh . . . . . . . area of a rectangle with base b and height h
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1. rectangle area = (6 in)(7 in) = 42 in²
triangle area = 1/2(6 in)(3 in) = 9 in²
Total area of the figure:
42 in² +9 in² = 51 in²
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2. rectangle area = (6 in)(13 in) = 78 in²
trapezoid area = 1/2(6 in + 3 in)(6 in) = 27 in²
Total area of the figure:
78 in² -27 in² = 51 in²
The area of the composite shape is 51 square inches.
