ZMath 150  - Unit 25: Area
1)

Draw a square whose sides measure 1 foot. If you use notebook paper, you will have to tape together 4 pieces to create the square foot. In the lower left corner, draw a square inch. Continue to draw square inches. How many square inches are in a square foot? Note: even though there are 12 inches in a foot, there are many more square inches in a square foot.

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2)

Find the area of the rectangle. Label the answer correctly.

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3) Find the area of a rectangle with where width is 10.4 centimeters and length is 8.7 centimeters.

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4) Find the area of a rectangle where the base is 3 3/4 in and the height is 4 inches.

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5) Cut out a rectangle. Then cut it in half along a straight diagonal line from opposite corners. Explain why the area of a triangle is only 1/2 times the base times height.

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6)

Using this triangle and rectangle with the same base and height, explain why the area of the triangle is only 1/2 as much as the rectangle’s area.

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7)

Find the area. Label answer correctly.

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8) Find the area of a triangle where the base is 10.4 centimeters and height is 8.7 centimeters. Label correctly.

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9) Find the area of a triangle where the base is 3 3/4 in and the height is 4 inches.

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10)

Express the area of a square yard in square feet.

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11) Find the area of a square that measures 11.8 feet on a side. Label correctly.

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12) The area of a square is 100 square feet. What is the length of one side? Label correctly.

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13)

Click here to print and cut out the parallelogram shown below. Cut the parallelogram along the dotted line and rearrange the two pieces so that they form a rectangle. Notice that the area remains the same; thus, the area of a parallelogram can be figured by using the formula for the area of a rectangle, Area = base times height (or Area = length times width). Why must you use the HEIGHT of the parallelogram, NOT the length of the slanted side of the parallelogram, to determine its area? (Hint: Measure both the height of the parallelogram and the length of the slanted side of the parallelogram, and then compare the measurements.)

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14)

Find the area of the parallelogram. Label the answer correctly.

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15)

Find the area of the parallelogram. Label the answer correctly.

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Review

16) What metric prefix means 1/10?

17) Which metric unit is a little more than half a mile?

18) Which metric unit is used to measure lightweight substances like powdered medicine?

19) Draw an acute angle. State its measure.

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20) The two rays of an angle meet at a point called the _______________.

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21) In a right triangle, one angle measures 90 degrees. A second angle measures 30 degrees. What would be the measure of the third angle?

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22)

Find the perimeter of the following shape and label correctly. Name the shape.

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23) Find the perimeter of a square that measures 9.2 cm on one side. Label answer correctly.

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24)

Find the difference.

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25) The length of Josh’s walking pace is 1.5 feet. With that pace length, how many paces does he walk per mile? (Remember one mile = 5,280 feet.)

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