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Rectangles with Same Perimeter Different Areas

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Which of the figures has the same perimeter but a different area compared to Figure A?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

e)

None of the Above

2.

Which of the figures have the same perimeter but different areas?

a)

Figures 1 and 2

b)

Figures 2 and 4

c)

Figures 1 and 3

d)

Figures 3 and 4

e)

None of the Above

3.

Ian is building a rectangular sandbox. The perimeter will be 12 feet. He wants the sandbox to have the greatest possible area. What could be Ian's sandbox?

a)
b)
c)
d)
4.

The distance around an object is called the 

a)

area

b)

perimeter

5.

Which statement is true?

a)

The figures have the same perimeter but different areas.

b)

The figures have different perimeters but the same area.

c)

The figures have the same area and perimeter.

d)

The figures have different perimeters and areas.

6.
a)

The rectangles have the same area and perimeter.

b)

The rectangles have the same area, but different perimeters.

c)

The rectangles have the same perimeter, but different areas.

d)

The rectangles have different areas and perimeters.

7.

Kevin and Vlad used square tiles to make a rectangle. The rectangle has a perimeter of 8 units and an area of 4 square units. Which could be their rectangle?

a)
b)
c)
d)
8.

Cianna wants to put wallpaper border around her room. Cianna's room is shown. She will use 36 feet of wallpaper border. What is the unknown side length a?

a)

14 feet

b)

28 feet

c)

6 feet

d)

8 feet

9.

Gustavo and Kayden drew these rectangles on grid paper. which statement about the perimeters and areas of the rectangles is TRUE?

a)

The perimeters are the same and the areas are the same.

b)

The perimeters are different and the areas are different.

c)

The perimeters are different and the areas are the same.

d)

The perimeters are the same and the areas are different.

10.

A rectangular bookmark has a perimeter of 16 inches. The length of the bookmark is 6 inches.

What is the width of the bookmark?

a)

2 inches

b)

4 inches

c)

8 inches

d)

12 inches