Area of Rectangle/ Parallelogram
A contractor is pouring a rectangular concrete patio that will have a total area of 180 square feet. If the patio has a fixed base of 12 feet, what is the height of the patio?
15
Stacey’s quilt contains sets of congruent right triangles as shown below. The base of each triangular piece is 8 cm and the height of each piece is 11 cm.
Determine the area of each triangular piece.
44
Mr. Lopez is packing supplies into a rectangular storage container for science class.
The container is:
14.2 inches long
18 inches wide
6.5 inches high
What is the volume of the container?
1,661.4
The back frame of a box is in the shape of a trapezoid. The two bases are 3 feet and 9 feet long. The height of the box is 1 foot. What equation can you write to represent the area of the back frame of the box? Determine the area of the back frame.
6
During recess, the teacher recorded how many books students checked out from the classroom library in one week:
3, 5, 4, 6, 5, 2, 5, 4, 3, 4, 5, 3, 5, 2
What is the mode of the number of books checked out?
5
Anthony drew the parallelogram shown. The base is 14 cm. Height is 8cm Use the equation for the area of a parallelogram to determine the area.
112 cm
Justine is using a TV tray with a base in the shape of a triangle. The tray has a height of 4.2 inches and a base of
10 inches. Determine the area of the TV tray?
21
Ms. Carter is filling a storage box with math manipulatives. The box is shaped like a rectangular prism. The box is 12.5 inches long, 25 inches wide, and 9 inches high. What is the volume of the storage box?
2,812.5
A painter canvas is shaped like a trapezoid.
The length of the shorter base is 10 meters.
The length of the longer base is 18 meters.
The height of the playground is 7 meters.
What is the area of the playground?
98
A middle school track team recorded the number of laps completed by five runners during practice:
12, 15, 20, 5, 10.5, 13.50, 11, 6, 8 , 9
What is the mean number of laps completed by the runners?
11
Lizbeth is installing a solar panel on her roof that is in the shape of a parallelogram. The panel has an area of 25 square feet and a base of 4 feet. What is the height of the solar panel?
6.25
A landscaping company is designing a triangular garden.
The area of the garden is 216 square feet.
The height of the triangle is 18 feet.
What is the base of the garden?
24
A rectangular prism has a height of 12 inches and a base area of 24 in2. What is the volume of the rectangular prism in cubic inches?
A. 36 in3
B. 288 in3
C. 576 in3
D. 3,456 in3
B. 288 in3
A community park is building a playground shaped like a trapezoid.
The base 1 of the shorter base is 125 meters.
The base 2 of the longer base is 20 meters.
The height of the playground is 15 meters.
What is the area of the playground?
1,087.5
In Ms. Rivera’s class, five students scored the following points on a math quiz:
82
76
91
85
86
What is the mean score of the five students?
84
A parallelogram shaped toy that Jace loves to play with has a base of 15.2 inches and a and area of 121.6 square inches. What is the height of the Jace’s toy?
8
A landscaper is designing a triangular flower bed. They want the flower bed to have an area of 42 square meters. If the height of the flower bed along the fence line measures 14 meters, what is the base of the flower bed?
6
A large rectangular storage trunk has a volume of 360 cubic feet and a base area of 45 square feet.
Determine the height of the trunk.
8
A custom trapezoidal window is being manufactured. The window needs to have a total glass area of 12 square feet. The top base, b1 of the window is 3 feet, and the bottom base, b2 is 5 feet. What is the height, h of the window?
3
A basketball coach recorded the number of free throws made by players during practice:
9, 14, 12, 7, 10, 15, 8, 11, 13
What is the median number of free throws made?
11
A school is designing a rectangular banner for the gym. The area of the banner is 2040 square feet. The height of the banner is 25.5 feet. What is the base of the banner?
80
A designer is creating a triangular stage backdrop for a school play.
The area of the backdrop is 84.6 square feet.
The height of the triangle is 9.4 feet.
What is the base of the triangle?
18
Janice received the gift box below for her birthday. The box has a base length of 19 feet and a width of 13 feet. The box has a height of 22 feet.
What is the volume of the gift box?
5,434
The school is designing a flower garden shaped like a trapezoid.
The area of the garden is 84 square feet.
The base 1 of the shorter base is 8 feet.
The base 2 of the longer base is 16 feet.
What is the height of the garden?
7
A group of students recorded the number of minutes they read at home last week:
18, 25, 30, 22, 15, 40, 28, 20
What is the median number of minutes the students read?
23.5