Unit Test Review

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU?

(18 + 4)

What is the area of the composite figure?

(8π + 12) in.2

Rhombus WXYZ is graphed on a coordinate plane. What is the area of the rhombus?

24 square units

Galina is finding the area of triangle RST. To do so, she follows the steps in the table. Step 1Draw a rectangle around triangle RST.Step 2 Find the area of the rectangle. Step 3Find the area of the three right triangles createdby the sides of the rectangle and the intersectionwith each vertex of the triangle.Step 4 Subtract the area of the right triangles fromthe area of the rectangle. To solve the problem using these steps, what are the dimensions of the rectangle she should draw?

3 units by 4 units

What is the measure of each exterior angle of a regular hexagon?

60°

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. What is the approximate area of the hexagon?

672 cm2

How do the areas of the parallelograms compare?

The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Complete the steps, which describe how to find the area of the shaded portion of the circle. 1.Find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360. 2.Subtract the area of the triangle from the area of the sector.

measure of the central angle

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?

102°

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. What is the approximate area of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with 7 sides.

2,125 cm2

Rhombus WXYZ is graphed on a coordinate plane. What is the perimeter of the rhombus?

20 units

The owner of a minigolf course is replacing the artificial grass on a portion of the course. The area to be replaced is shown in the diagram. What square footage of artificial grass is needed to cover this portion of the course?

8π + 180

A regular hexagon is shown. What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.

9 in.

What is the area of triangle RST?

9 square units

The regular octagon has a perimeter of 122.4 cm. Which statements about the octagon are true? Select two options.

C.) The length of segment XY can be found by solving for a in 202 - 7.652 = a2. E.) The measure of the central angle, ∠ZXW, is 45°.