AREAS of POLYGONS

AREAS of POLYGONS

QUADRILATERALS AND TRIANGLES

1.  Lucinda is building a patio with a floor shaped like a square. The perimeter of the floor is 90 feet. What is the areal of the patio floor in square feet?

A.  180 ft² B. 45 ft² C. 22.5 ft² D. 506.25 ft²

2.  Which of the following CANNOT be used to find the perimeter of a square with side length s?

A.  S + s + s + s C. 4s

B.  2s + 2s D. s x s

3.  Bloom’s nursery designed a plan for Mrs. Harrick’s flower bed, as shown in the shaded part of the grid below.

Each square on the grid represents 5 square feet. What will be the approximate area of the flower bed?

A.  100 ft² B. 80 ft² C. 20 ft² D. 16 ft²

4.  Cassie draws the following 3 figures:

Which 2 figures have the same area?

A.  All have different areas

B.  Figures I and II

C.  Figure I and III

D.  Figures II and III

5.  Triangles RST and JKL are similar.

Which choice shows the equations that could be used to find the area of triangle JKL?

6.  Mrs. Wagner painted the outside of her patio door as shown below. She did not paint the window or doorknob.

Which is closest to the painted area of the door in square feet?

A.  31 ft² B. 25 ft² C. 28 ft ² D. 18 ft²

7.  Marilou needs to cut a piece of glass for her table. The table is in the shape of a regular hexagon. The glass should measure 1½ feet on each side. What is the perimeter of the piece of glass?

A.  12 ft B. 9 ft C. 18 ft D. 7.5 ft

8.  The drawing below shows a house and the lawn.

What is the area of the lawn?

A.  19,280 ft² B. 20,000 ft² C. 37,680 ft² D. 17680 ft²

9.  Peter wants to find the area of the isosceles trapezoid shown below.

Which equation could Peter use to find A, the area of the trapezoid?

A.  A = 8 · 14 + 5

B.  A = 8 + 14 + (2 · 5)

C.  A = (8 + 14) · 4 ÷ 2

D.  A = 8 + 5 + 14 + 4

10.  Mr. Ellis was trying to find a tablecloth for his rectangular dining table. He knew the area and perimeter of the tabletop.

Area = 36 square feet

Perimeter = 26 feet

Which best represents the width and length of the tabletop?

A.  Width = 2 ft C. Width = 6 ft

Length = 18 ft Length = 12 ft

B.  Width = 3 ft D. Width = 4 ft

Length = 12 ft Length = 9 ft

11.  The base of this prism is a triangle.

Which equation could be used to find the area of the triangle base?

A.  Area of triangle base = 6(4)÷2

B.  Area of triangle base = 6(4)

C.  Area of triangle base = 6(9)(5)

D.  Area of triangle base = 9(5)÷2

12.  The table below shows the different sizes of square gardens Charlie can build.

Which graph shows the correct relationship between the side length and perimeter of each square garden Charlie can build?