Free Printable Optimizing Area and Perimeter

Worksheets

Optimizing Area and Perimeter

Total questions: 14

Worksheet time: 4hrs 30mins

Name

Class

Date

A rectangle has an area of 30 square feet. What dimensions of the rectangle will give a minimum perimeter?

15 ft. x 15 ft.

10 ft x 20 ft

7.5 ft x 7.5 ft

5.5 ft x 5.5 ft

A rectangle has an area of 30 square feet. What is the minimum perimeter of the rectangle?

120 ft

22 ft

30 ft

60 ft

A rectangle has an area of 65 $m^2$ . What dimensions of the rectangle will give a minimum perimeter?

10 m x 22.5 m

8.06 m x 8.06 m

16.25 m x 16.25 m

20 m x 12.5 m

A rectangle has an area of 65 $m^2$ . What is the minimum perimeter of the rectangle?

8 m

45 m

65 m

32.2 m

At an outdoor festival, 2 m sections of fencing are used to enclose an area for food sales. There are 100 sections of fencing available. How many metres of fencing are available all together?

100 m

200 m

102 m

150 m

At an outdoor festival, 2 m sections of fencing are used to enclose an area for food sales. There are 100 sections of fencing available. Determine the maximum rectangular are that could be enclosed.

50 $m^2$

200 $m^2$

2500 $m^2$

100 $m^2$

A rectangular patio is to be constructed from 100 congruent square tiles. What arrangement of tiles would give the minimum perimeter?

20 tiles x 5 tiles

50 tiles x 2 tiles

25 tiles x 4 tiles

10 tiles x 10 tiles

A rectangular patio is to be constructed from 100 congruent square tiles. Suppose each tile has a side length of 50 cm. What would be the minimum perimeter?

2000 cm

5000 cm

20 000 cm

1000 cm

A rectangular patio is to be constructed from 100 congruent square tiles. Suppose each tile has a side length of 50 cm. What would be the area of the patio?

10 000 $cm^2$

500 000 $cm^2$

250 000 $cm^2$

5000 $cm^2$

10.

A rectangle has a perimeter of 68 m. What dimensions would give a maximum area?

17 m x 17 m

8.2 m x 8.2 m

34 m x 34 m

22 m x 22 m

11.

A rectangle has a perimeter of 68 m. What is the maximum area that can be enclosed?

67.24 $m^2$

289 $m^2$

1156 $m^2$

484 $m^2$

12.

A lifeguard is roping off a rectangular swimming area using the beach as one side. She has 200 m of rope. What are the dimensions of the greatest area she can rope off?

50 m x 50 m

25 m x 25 m

25 m x 50 m

14 m x 14 m

13.

A lifeguard is roping off a rectangular swimming area using the beach as one side. She has 200 m of rope. What is the greatest area that can be roped off?

625 $m^2$

1250 $m^2$

200 $m^2$

2500 $m^2$

14.

Is 1250 $m^2$ greater than or less than 50 000 square feet?

greater than

less than

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Optimizing Area and Perimeter

Total questions: 14

Worksheet time: 4hrs 30mins

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