Understanding Area Unit Test 100%

What is the area of parallelogram RSTU?

32

How does the area of triangle ABC compare to the area of parallelogram GHJK?

The area of ?ABC is 2 square units greater than the area of parallelogram GHJK.

A regular pentagon is shown.
What is the measure of the radius, c, rounded to the nearest hundredth? Use an appropriate trigonometric ratio to solve.

12.36 cm

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

12 square units

What is the measure of angle BCD?

140

A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What is the value of x?

11

Which polygon is a concave octagon?

C

The regular hexagon has a radius of 4 in.
What is the approximate area of the hexagon?

42 in.2

What is the measure of ?B?

108�

The shaded figure is a rhombus.
The area of the shaded section is 60 square units. What is the value of x?

8 units

What is the area of triangle LMN?

12 square units

What is the area of parallelogram RSTU?`

21 square units

Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ? CY.
What is true about the areas of the trapezoids?

Each area is equal to half of the area of ABCD.

In the regular nonagon shown, what is the measure of angle x?

40�

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.
What is the area of the triangle, rounded to the nearest tenth?

24.2 cm2

The area of the regular pentagon is 6.9 cm2.
What is the perimeter?

10 cm

What is the area of parallelogram ABCD?

20 square units

What type of polygon is shown?
convex heptagon
concave heptagon
concave octagon
convex octagon

concave heptagon

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

30 square units

Michael is finding the area of parallelogram ABCD. To do this, he follows the steps in the table.
Step 1
Draw a rectangle around parallelogram ABCD.
Step 2
Find the area of the rectangle.
Step 3 Find the area of the four right triangles created in the cor

4 units by 4 units

The sum of all but one interior angle of a heptagon is 776�. The final angle must have a measure of ___ degrees.

124

What is the value of x?
6
8
10
12

8

A regular decagon has a radius of 8 cm.
What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

188 cm2

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

10

Which polygon has an interior angle sum of 1080�?

A