10 Mid-Chapter Quiz

Do you know HOW?

Find the area of each figure.

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5. What is the area of a parallelogram with a base of 17 in. and a corresponding height of 12 in.?
6. If the base of a triangle is 10 cm, and its area is 35   cm 2 , 35 , cm squared , comma  what is the height of the triangle?
7. The area of a parallelogram is 36   in . 2 , 36 in , . squared , comma  and its height is 3 in. How long is the corresponding base?
8. An equilateral triangle has a perimeter of 60 m and a height of 17.3 m. What is its area?

   Find the area of each figure.

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13. The area of a trapezoid is 100   ft 2 . 100 , ft squared , .  The sum of its two bases is 25 ft. What is the height of the trapezoid?

    Find the area of each regular polygon. Round your answer to the nearest tenth.

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16. A regular octagon has sides 15 cm long. The apothem is 18.5 cm long. What is the area of the octagon?
17. The radius of a regular hexagon is 5 ft. What is the area of the hexagon to the nearest square foot?

    The scale factor of Δ A B C  to  Δ D E F cap delta eh b c , to , cap delta d e f  is 3 : 5. Fill in the missing information.

18. The perimeter of Δ A B C cap delta eh b c  is 36 in.

    The perimeter of Δ D E F cap delta d e f  is _ ? _ . modified under bar with

19. The area of Δ A B C cap delta eh b c  is _ ? _ . modified under bar with

    The area of Δ D E F cap delta d e f  is 125   in . 2 . 125 in , . squared , .

20. The areas of two similar triangles are 1.44 and 1.00. Find their scale factor.
21. The ratio of the perimeters of two similar triangles is 1 : 3. The area of the larger triangle is 27   ft 2 . 27 , ft squared , .  What is the area of the smaller triangle?

Do you UNDERSTAND?

22. Open-Ended Draw a rhombus. Measure the lengths of the diagonals. What is the area?
23. Writing Describe two different methods for finding the area of regular hexagon ABCDEF. What is the area?

    

24. Reasoning Suppose the diagonals of a kite are doubled. How does this affect its area? Explain.

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