Area and Perimeter Worksheets | Grade1to6.com - Free Printable

Let’s solve each problem one by one, step by step.

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Problem 1:

The perimeter of a rectangular playground is 36 m. The length is 6 m. What is the width?

We know:
Perimeter of rectangle = 2 × (length + width)

So:
36 = 2 × (6 + width)
Divide both sides by 2:
18 = 6 + width
Subtract 6 from both sides:
width = 12

✔ Check: 2 × (6 + 12) = 2 × 18 = 36 → Correct.

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Problem 2:

A rectangular room measures 15 m by 7 m. What is the area?

Area = length × width
= 15 × 7
= 105 square meters

✔ Check: 15 × 7 = 105 → Correct.

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Problem 3:

Emily’s room is 12 ft by 12 ft. How much carpeting does she need?

This is asking for area.
Area = 12 × 12 = 144 square feet

✔ Check: 12 × 12 = 144 → Correct.

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Problem 4:

Oliver wants to put a border around a 9 ft by 12 ft bulletin board. How long should the border be?

Border goes around the edge → that’s the perimeter.

Perimeter = 2 × (length + width)
= 2 × (9 + 12)
= 2 × 21
= 42 feet

✔ Check: 9+12+9+12 = 42 → Correct.

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Problem 5:

Flower garden is 5 meters long and 12 meters wide. One bag covers 5 square meters. How many bags needed?

First, find area:
Area = 5 × 12 = 60 square meters

Each bag covers 5 sq m → number of bags = 60 ÷ 5 = 12

✔ Check: 12 bags × 5 sq m = 60 sq m → Correct.

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Problem 6:

Perimeter of a rectangular field is 80 ft. Width is 10 ft. Find the area.

We know:
Perimeter = 2 × (length + width)
80 = 2 × (length + 10)
Divide both sides by 2:
40 = length + 10
So, length = 30 ft

Now, area = length × width = 30 × 10 = 300 square feet

✔ Check: Perimeter = 2×(30+10)=80 → Correct. Area = 300 → Correct.

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Final Answer:

1. 12 m
2. 105 m²
3. 144 ft²
4. 42 ft
5. 12 bags
6. 300 ft²