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## 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 area of a rectangular rug is 60 yd2. If the width of the rug is 10 yd, what is the length of the rug? 2.   The perimeter of a rectangular rug is 32 yd. If the width of the rug is 8 yd, what is the length of the rug?

### Complexity=1, Mode=med

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

 1.   Jose wants new carpeting for his living room. His living room is an 8 m by 8 m rectangle. How much carpeting does he need to buy to cover his entire living room? 2.   Joe has a rectangular herb garden that is 8 ft long and 10 ft wide. What length of fencing does he need to fence in his entire garden?

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

 1.   Tiffany is making a display board for the school play. The display board is a 9 ft by 9 ft rectangle. If ribbon costs \$1 per foot, how much will it cost to add a ribbon border around the entire display board? 2.   Patricia has a rectangular flower garden that is 10 ft long and 2 ft wide. One bag of soil can cover 10 ft2. How many bags will she need to cover the entire garden? bags

### Complexity=1, Mode=basic

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

1The area of a rectangular rug is 60 yd2.
If the width of the rug is 10 yd, what is the
length of the rug?

Solution
Area = 10 yd × length = 60 yd2
length = 6 yd
2The perimeter of a rectangular rug is 32 yd.
If the width of the rug is 8 yd, what is the
length of the rug?

Solution
Perimeter = 2 (8 yd + length) = 32 yd
length = 8 yd

### Complexity=1, Mode=med

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

1Jose wants new carpeting for his living room.
His living room is an 8 m by 8 m rectangle. How
much carpeting does he need to buy to cover his
entire living room?

Solution
You need to find the area for this problem.
Area = 8 m × 8 m = 64 m2
2Joe has a rectangular herb garden that is 8 ft
long and 10 ft wide. What length of fencing does
he need to fence in his entire garden?

Solution
You need to find the perimeter for this problem.
Perimeter = 2 × (8 ft + 10 ft) = 36 ft

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

1Tiffany is making a display board for the school play.
The display board is a 9 ft by 9 ft rectangle. If
ribbon costs \$1 per foot, how much will it cost to add
a ribbon border around the entire display board?

Solution
Find the perimter first and then calculate the cost of the ribbon.
Perimeter = 2 × (9 ft + 9 ft) = 36 ft
Cost = 36 ft × \$1 / ft = \$36
2Patricia has a rectangular flower garden that is 10 ft
long and 2 ft wide. One bag of soil can cover 10
ft2. How many bags will she need to cover
the entire garden?

bags

Solution
Find the area first and then calculate how many bags are needed.
Area = 10 ft * 2 ft = 20 ft2
# bags = 20 ft2 ÷ 10 ft2/bag = 2 bags   