How does the area of triangle ABC compare to the area of parallelogram GHJK?
answer
The area of â–³ABC is 2 square units greater than the area of parallelogram GHJK.
question
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.
answer
12.36 cm
question
Trapezoid ABCD is graphed in a coordinate plane.
What is the area of the trapezoid?
answer
12 square units
question
What is the measure of angle BCD?
answer
140
question
A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What is the value of x?
answer
11
question
Which polygon is a concave octagon?
answer
C
question
The regular hexagon has a radius of 4 in.
What is the approximate area of the hexagon?
answer
42 in.2
question
What is the measure of ∠B?
answer
108°
question
The shaded figure is a rhombus.
The area of the shaded section is 60 square units. What is the value of x?
answer
8 units
question
What is the area of triangle LMN?
answer
12 square units
question
What is the area of parallelogram RSTU?`
answer
21 square units
question
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?
answer
Each area is equal to half of the area of ABCD.
question
In the regular nonagon shown, what is the measure of angle x?
answer
40°
question
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?
answer
24.2 cm2
question
The area of the regular pentagon is 6.9 cm2.
What is the perimeter?
answer
10 cm
question
What is the area of parallelogram ABCD?
answer
20 square units
question
What type of polygon is shown?
convex heptagon
concave heptagon
concave octagon
convex octagon
answer
concave heptagon
question
In the kite, AC = 10 and BD = 6.
What is the area of kite ABCD?
answer
30 square units
question
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 corners of the rectangle.
Step 4
Subtract the area of the right triangles from the area of the rectangle.
To solve the problem using these steps, what are the dimensions of the rectangle he should draw?
answer
4 units by 4 units
question
The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of ___ degrees.
answer
124
question
What is the value of x?
6
8
10
12
answer
8
question
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.
answer
188 cm2
question
The area of rhombus ABCD is 72 square units. EC = 8 units and DB = x - 1.
What is the value of x?
answer
10
question
Which polygon has an interior angle sum of 1080°?
answer
A
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