Area and Perimeter of Rectangles Worksheets - Math Monks - Free Printable

Let’s solve each problem one by one. We’ll use the formulas:

- Area of a rectangle = length × width
- Perimeter of a rectangle = 2 × (length + width)

We’ll calculate carefully for each question.

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Problem 1:

Length = 16 ft, Width = 12 ft

→ Area = 16 × 12 = 192 ft²
→ Perimeter = 2 × (16 + 12) = 2 × 28 = 56 ft

✔ Answer: Area = 192 ft², Perimeter = 56 ft

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Problem 2:

Width = 30 cm, Length = 40 cm

→ Area = 40 × 30 = 1200 cm²
→ Perimeter = 2 × (40 + 30) = 2 × 70 = 140 cm

✔ Answer: Area = 1200 cm², Perimeter = 140 cm

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Problem 3:

Length = 8 cm, Width = 6 cm

→ Area = 8 × 6 = 48 cm²
→ Perimeter = 2 × (8 + 6) = 2 × 14 = 28 cm

✔ Answer: Area = 48 cm², Perimeter = 28 cm

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Problem 4:

Land is 250 m wide and 500 m long → This means width = 250 m, length = 500 m

He wants to fence around it → That’s the perimeter!

→ Perimeter = 2 × (500 + 250) = 2 × 750 = 1500 m

✔ Answer: Perimeter = 1500 m

*(Note: The question only asks for perimeter, not area.)*

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Problem 5:

Area = 150 m², Length = 25 m → Find width first.

Since Area = length × width → width = Area ÷ length = 150 ÷ 25 = 6 m

Now find perimeter:

→ Perimeter = 2 × (25 + 6) = 2 × 31 = 62 m

✔ Answer: Width = 6 m, Perimeter = 62 m

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Problem 6:

Area = 5200 ft², Width = 75 ft → Find length.

Length = Area ÷ Width = 5200 ÷ 75

Let’s calculate that:

75 × 69 = 5175 → too low
75 × 70 = 5250 → too high
So 5200 ÷ 75 = ?

Do division:
5200 ÷ 75 = (5200 ÷ 25) ÷ 3 = 208 ÷ 3 ≈ 69.333...

But let’s do exact fraction:

5200 ÷ 75 = 5200 / 75 = simplify by dividing numerator and denominator by 25:

= 208 / 3 = 69 and 1/3 ft → or 69.333... ft

But maybe we should check if it divides evenly? Let me double-check:

75 × 69 = 75×70 - 75 = 5250 - 75 = 5175
5200 - 5175 = 25 → so 69 + 25/75 = 69 + 1/3 = 69⅓ ft

Yes, correct.

So length = 69⅓ ft or 69.333... ft

But since the problem says “find the length”, and doesn’t specify decimal or fraction, we can write as mixed number or improper fraction.

In math problems like this, often they expect exact value.

So:

Length = 5200 ÷ 75 = 208/3 ft = 69⅓ ft

✔ Answer: Length = 69⅓ ft (or 208/3 ft)

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Final Answers:

1. Area = 192 ft², Perimeter = 56 ft
2. Area = 1200 cm², Perimeter = 140 cm
3. Area = 48 cm², Perimeter = 28 cm
4. Perimeter = 1500 m
5. Width = 6 m, Perimeter = 62 m
6. Length = 69⅓ ft

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Final Answer:
1. Area = 192 ft², Perimeter = 56 ft
2. Area = 1200 cm², Perimeter = 140 cm
3. Area = 48 cm², Perimeter = 28 cm
4. Perimeter = 1500 m
5. Width = 6 m, Perimeter = 62 m
6. Length = 69⅓ ft