9514 1404 393
Answer:
(b) 34.5 square units
Explanation:
A horizontal line at y=1 will cut off a triangle above the line that has a base of 6 units and a height of 3. Its area is ...
A = 1/2bh = 1/2(6)(3) = 9 . . . square units.
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For the remaining figure, a vertical line at x=1 will cut off a triangle to the right that has a base of 3 and a height of 4. Its area is ...
A = 1/2(3)(4) = 6 . . . square units
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The remaining figure is a trapezoid with bases 6 and 7 and height 3, Its area is ...
A = 1/2(b1 +b2)h = 1/2(6 +7)(3) = 19.5 . . . square units
Then the total area of the figure is ...
9 + 6 + 19.5 = 34.5 . . . square units