See Problem 4.

17. Urban Design A bakery has a 50 ft-by-31 ft parking lot. The four parking spaces are congruent parallelograms, the driving region is a rectangle, and the two areas for flowers are congruent triangles.

    1. Find the area of the paved surface by adding the areas of the driving region and the four parking spaces.
    2. Describe another method for finding the area of the paved surface.
    3. Use your method from part (b) to find the area. Then compare answers from parts (a) and (b) to check your work.

    

B Apply

18. The area of a parallelogram is 24  in . 2 24 , in , . squared  and the height is 6 in. Find the length of the corresponding base.

19. What is the area of the figure below?

    

    1. 64   cm 2 64 , cm squared
    2. 88   cm 2 88 , cm squared
    3. 96   cm 2 96 , cm squared
    4. 112   cm 2 112 , cm squared
20. A right isosceles triangle has area 98   cm 2 . 98 , cm squared , .  Find the length of each leg.
21. Algebra The area of a triangle is 108  in . 2 . 108 , in , . squared , .  A base and corresponding height are in the ratio 3 : 2. Find the length of the base and the corresponding height.

22. Think About a Plan Ki used geometry software to create the figure below. She constructed A B ↔ modified eh b with left right arrow above  and a point C not on A B ↔ . modified eh b with left right arrow above , .  Then she constructed line k parallel to A B ↔ modified eh b with left right arrow above  through point C. Next, Ki constructed point D on line k as well as A D ¯ eh d bar  and B D ¯ . b d bar , .  She dragged point D along line k to manipulate Δ A B D . cap delta eh b d .  How does the area of Δ A B D cap delta eh b d  change? Explain.

    

    • Which dimensions of the triangle change when Ki drags point D?
    • Do the lengths of AD and BD matter when calculating area?
23. Open-Ended Using graph paper, draw an acute triangle, an obtuse triangle, and a right triangle, each with area 12   unit s 2 . 12 , unit , s squared , .

Find the area of each figure.

24. ▱ A B J F white parallelogram eh b j f
25. Δ B D J cap delta b d j
26. Δ D K J cap delta d k j
27. ▱ B D K J white parallelogram b d k j
28. ▱ A D K F white parallelogram eh d k f
29. Δ B C J cap delta b c j
30. trapezoid ADJF
31. Reasoning Suppose the height of a triangle is tripled. How does this affect the area of the triangle? Explain.

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