Math Practice Problems - Perimeter and Area Word Problems

Perimeter and Area Word Problems - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=basic

Solve. Answer with proper units. To represent m², use "sq m". Sample answer: 5 sq m.

1. The perimeter of a rectangular park is 28 m.
If the length of the park is 7 m, what is the
width of the park?

2. A rectangular room measures 10 m by 5 m.
What is the area of this room?

Complexity=1, Mode=med

Solve. Answer with proper units. To represent m², use "sq m". Sample answer: 5 sq m.

1. Tiffany wants new carpeting for her family room.
Her family room is a 6 ft by 5 ft rectangle. How
much carpeting does she need to buy to cover her
entire family room?

2. Grace is making a display board for the school
talent show. The display board is a 6 ft by 11
ft rectangle. She needs to add a ribbon border
around the entire display board. What is the
length of ribbon that she needs?

Complexity=1, Mode=adv

Solve. Answer with proper units. To represent m², use "sq m". Sample answer: 5 sq m.

1. Fernando has a rectangular flower garden that is 9 yd
long and 2 yd wide. One bag of fertilizer can cover 9
yd². How many bags will he need to cover
the entire garden?

bags

2. The perimeter of a rectangular field is 40 ft and its
width is 10 ft. Find the area of this field.

Answers

Complexity=1, Mode=basic

Solve. Answer with proper units. To represent m², use "sq m". Sample answer: 5 sq m.

#	Problem	Correct Answer	Your Answer
1	The perimeter of a rectangular park is 28 m. If the length of the park is 7 m, what is the width of the park?
Solution Perimeter = 2 (7 m + width) = 28 m width = 7 m

#	Problem	Correct Answer	Your Answer
2	A rectangular room measures 10 m by 5 m. What is the area of this room?
Solution The area of a rectangle is length × width. Area = 10 m × 5 m = 50 m²

Complexity=1, Mode=med

Solve. Answer with proper units. To represent m², use "sq m". Sample answer: 5 sq m.

#	Problem	Correct Answer	Your Answer
1	Tiffany wants new carpeting for her family room. Her family room is a 6 ft by 5 ft rectangle. How much carpeting does she need to buy to cover her entire family room?
Solution You need to find the area for this problem. Area = 6 ft × 5 ft = 30 ft²

#	Problem	Correct Answer	Your Answer
2	Grace is making a display board for the school talent show. The display board is a 6 ft by 11 ft rectangle. She needs to add a ribbon border around the entire display board. What is the length of ribbon that she needs?
Solution You need to find the perimeter for this problem. Perimeter = 2 × (6 ft + 11 ft) = 34 ft

Complexity=1, Mode=adv

Solve. Answer with proper units. To represent m², use "sq m". Sample answer: 5 sq m.

#	Problem	Correct Answer	Your Answer
1	Fernando has a rectangular flower garden that is 9 yd long and 2 yd wide. One bag of fertilizer can cover 9 yd². How many bags will he need to cover the entire garden?	bags
Solution Find the area first and then calculate how many bags are needed. Area = 9 yd * 2 yd = 18 yd² # bags = 18 yd² ÷ 9 yd²/bag = 2 bags

#	Problem	Correct Answer	Your Answer
2	The perimeter of a rectangular field is 40 ft and its width is 10 ft. Find the area of this field.
Solution First find the length given the perimeter and width. Perimeter = 2 (10 ft + length) = 40 ft length = 10 ft Then calculate the area. Area = 10 ft × 10 ft = 100 ft²

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