Chapter 11 Final Review
1.A trapezoid has base lengths of 4 and 19 feet, with an area of 115 square feet. What is the height of the trapezoid?2.The height of a triangle is 10 centimeters more than its base. If the area of the triangle is 100 square centimeters, find its base and height.
3.Bonus Find the area of a circle circumscribed about a regular pentagon with a perimeter of 50 inches. Round to the nearest tenth.
4.The height of a triangle is one-fourth the length of its base. If the area of the triangle is 34.445 square meters, find the length of its base and height.
Find the area of each polygon. Round to the nearest tenth.
5.the kite below if the value of x is 4.9
6.a rhombus with a perimeter of 100 meters and one diagonal with a length of 48 meters
7.the triangle below
Find the area of each sector. Round to the nearest tenth.
8.
9.Find the area of the rhombus if XY = 8 feet and XA = 5 feet.
10.A sector of a circle has a central angle of 80°. If the circle has a radius of 5.5 inches, what is the area of the sector?
11.The height of a triangle is 4 meters more than its base. If the area of the triangle is 160 square meters, find its base and height.
12.Bonus Find the area of a circle circumscribed about a regular octagon with a perimeter of 80 inches. Round to the nearest tenth.
Find the area of each polygon. Round to the nearest tenth.
13.a regular pentagon with apothem length of 5 inches
14.Jillian has two similar shapes. The smaller shape has a side length of 5 inches and an area of 17 square inches. The length of the corresponding side of the larger shape is 12 inches. Find the area of the larger shape. Round to the nearest tenth.
15.The area of a rhombus is 337.5 square millimeters. If one diagonal is three times as long as the other, what are the lengths of the diagonals?
16.Given the regular polygon ABCDEF:
a. Find the sum of the measures of the interior angles of ABCDEF.
b. Find the area of the shaded region. Round to the nearest tenth.
Find the area of each sector. Round to the nearest tenth.
17.
Find the area of each figure. Round to the nearest tenth if necessary.
18.
19.The area of a circle is 25 square feet. Find the diameter.
20.If the area of parallelogram ABCD is 570 square meters, find the height.
Answer Key
2.b = 10 cm; h = 20 cm
3.227.3 in2
4.b = 16.6 m; h = 4.15 m
5.30.63 units2
6.336 m2
7.18 cm2
8.14.0 in2
9.80 ft2
10.21.1 in2
11.b = 16 m; h = 20 m
12.536.3 in2
13.90.8 in2
14.97.9 in2
15.45 mm and 15 mm
16.a. 720
b. 139.1 units2
17.422.2 cm2
18.189 cm2
19.5.64 ft
20.30 m