Perimeter and Area of Rhombi, Trapezoids, and Kites Assignment and Quiz

The area of rhombus ABCD is 72 square units. EC = 8 units and DB = x - 1. What is the value of x?

10

The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal?

10 units

Hien would like to estimate the area of Nevada using a trapezoid. She uses the dimensions shown as approximations. What is the approximate area of Nevada?

110400

The area of rhombus ABCD is 120 square units. AE = 12 and BD = x - 2. W

12 10

Juan is making a border out of rhombi for his wall. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide. How much paper does he need for each rhombus? If his wall is 11 feet long, how much paper does he use?

12 396

Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units. What is the length of AC?

12 units

A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, -1). What is the approximate perimeter of the kite? Round to the nearest tenth.

16.8 units

What is the area of the rhombus?

24

Trapezoid ABCD is graphed in a coordinate plane. What is the area of the trapezoid?

24 square units

What is the area of the trapezoid?

24 square units

In the kite, AC = 10 and BD = 6. What is the area of kite ABCD?

30 square units

A sandbox is shaped like a kite. Each unit on the coordinate plane represents one foot. A planner would like to replace the wooden border around the sandbox. How many feet of wood does he need? Round to the nearest whole number, if necessary.

35

A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the area of one kite?

4 sq. in.

A plot of land has an area of 33.75 square feet. Jackson wants to put a 4-foot by 4-foot shed on the land. He can only do this if the height of the trapezoid is at least 4.5 feet. What is the height of the trapezoid?

4.5

Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides. The area of EFGH is 35 square units. What is the value of x?

5 units

The area of a kite is 51.68 square inches. One diagonal measures 15.2 inches. What is the measure of the other diagonal?

6.8 inches

The coordinates of rhombus ABCD are A(-4, -2), B(-2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.

60 square units

What is the area of the trapezoid?

60 square units

How can you find the perimeter of the rhombus?

Use the distance formula to find QT, then multiply by 4.