Area and Perimeter Review
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Name ______Period _____ GL Area and Perimeter Review
1. Find the area of the parallelogram 5. Find the area of the composite figure. 7 in.
1
2
f h t 5 in.
f
t
1
8
3 in. 9 f
t
f
t
9
2. Find the area of a trapezoid, in which
13 cm 6. What is the shaded area? 7. A regular octagon has side lengths of 3 cm What is the geometric probability12 inches of landing and anin theapothem of 4 2 inches. What is the area? 16 cm shaded region?8 m P = ------= ______6 m 16 m th 8 m 3. Find the circumference and the area of 8. 2003 10 grade. 9The m scale of two in terms of . similar quadrilaterals is 1:4. The perimeter of the smaller quadrilateral 3 m Q is 80 centimeters. What is the perimeter of the larger quadrilateral? 20 in.
9. Two rectangles are similar. The side of the larger rectangle is 15 units, with an area of 270 square units. The 4. Find the area of a regular hexagon corresponding side of the smaller with apothem length of 2 3 . Round rectangle is 5 units. What is the area of the smaller rectangle? to the nearest tenth.
4 m
10. Find the area of a right triangle whose legs have lengths of 16 and 20. apothem
2 m
11. Find the area of a rectangle with base length 17 and height 12. 12. Find the area of a square with diagonal length 6 .
13. Find the area of a rectangle with perimeter of 50 18. Find the perimeter of a isosceles in. and length 15 in. trapezoid with bases of 24 and 36 whose height is 8.
19 A store sells circular rugs in two different sizes. The rugs come in diameters of 9 ft and 12 ft. 14. The area of a circle is 81 . The radius is ___. Find the difference in the areas of the two rugs. Round to the nearestArea tenth. =______
15. The radius of A is multiplied by one half. 20 Which polynomial best represents the area Describe the effect of the change on the area. of the regular hexagon shown below? 1 [Area = (apothem)(perimeter)] 2 A 12 in. A 2x2 + 3x B 4x2 + 12x C 4x + 12 D 5x + 6 16. Find the equation that can be used to 21 A circle with a diameter of 12 centimeters determine the total area of the composite figure is to be cut out from a square piece of paper shown below. that measures 12 centimeters on each side, as shown below. 12cm
12cm
Which is closest to the amount of paper that 17. A skate park consists of a two adjacent will be left over after the circle is cut out? rectangular regions as shown. Find the 2 perimeter and area of the park. F 31 cm G 25 cm2 H 21 cm2 2 J 9 cm 26. Find the geometric probability that a random point will land in the un-shaded region. 22 Rectangle STUV is similar to rectangle LMNO. If the area of rectangle STUV is 72 square units, what is the area of rectangle LMNO?
150⁰
A 12 units2 B 18 units2 C 24 units2 2 D 36 units 27. 23 What is the area of the unshaded part of the rectangle below?
A 45,000 ft2 B 26,000 ft2 C 28,000 ft2 D 19,000 ft2 28. 24 Setup an analogy for these four words: sector, arc length, circumference, and area
______:______::______:______
25. Find the geometric probability that a random point will land in the shaded.
29. 30. 33.
31.
What is the geometric probability of landing in the shaded region?
P = ------= ______
32.