Let's solve each of the word problems step by step, showing all work and including proper units.
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1) Norman is a sunflower farmer. He uses a plot of land that is 3 km by 4.3 km. How much land does he use for his sunflowers?
Step 1: This is a rectangle, so we find the
area using:
$$
\text{Area} = \text{length} \times \text{width}
$$
$$
= 3\,\text{km} \times 4.3\,\text{km} = 12.9\,\text{km}^2
$$
✔ Answer: $ \boxed{12.9} $ square kilometers (km²)
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2) Joanna created a triangular shaped vegetable garden and needs to put down fertilizer to cover the space. If the garden has a base of 1.4 m and a height of 2.6 m, how much fertilizer will she need?
Step 1: Area of a triangle:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
$$
= \frac{1}{2} \times 1.4\,\text{m} \times 2.6\,\text{m} = 0.7 \times 2.6 = 1.82\,\text{m}^2
$$
✔ Answer: $ \boxed{1.82} $ square meters (m²)
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3) Sue bought a triangular shaped piece of wood with a height of 6 inches and a base of 2 inches. She plans to cover the front with a piece of fabric. How much fabric will she need?
Step 1: Again, area of a triangle:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
$$
= \frac{1}{2} \times 2\,\text{in} \times 6\,\text{in} = 1 \times 6 = 6\,\text{in}^2
$$
✔ Answer: $ \boxed{6} $ square inches (in²)
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4) Before soccer practice Allyson jogs around the field that measures 100 yards by 65 yards twice. How far will she jog?
Step 1: First, find the
perimeter of the rectangular field:
$$
\text{Perimeter} = 2 \times (\text{length} + \text{width}) = 2 \times (100\,\text{yd} + 65\,\text{yd}) = 2 \times 165 = 330\,\text{yd}
$$
She jogs
twice around:
$$
330\,\text{yd} \times 2 = 660\,\text{yd}
$$
✔ Answer: $ \boxed{660} $ yards (yd)
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5) A farmer needs to buy fencing to go around his garden. The garden is 200 feet long by 150 feet wide. How much fencing will he need?
Step 1: Find the perimeter of the rectangular garden:
$$
\text{Perimeter} = 2 \times (\text{length} + \text{width}) = 2 \times (200\,\text{ft} + 150\,\text{ft}) = 2 \times 350 = 700\,\text{ft}
$$
✔ Answer: $ \boxed{700} $ feet (ft)
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6) Joel has brownies. The length of each brownie is 7 cm and the width is 5 cm. Find the area of the brownies.
Step 1: Area of a rectangle:
$$
\text{Area} = \text{length} \times \text{width} = 7\,\text{cm} \times 5\,\text{cm} = 35\,\text{cm}^2
$$
✔ Answer: $ \boxed{35} $ square centimeters (cm²)
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✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1 | $ 12.9\,\text{km}^2 $ |
| 2 | $ 1.82\,\text{m}^2 $ |
| 3 | $ 6\,\text{in}^2 $ |
| 4 | $ 660\,\text{yd} $ |
| 5 | $ 700\,\text{ft} $ |
| 6 | $ 35\,\text{cm}^2 $ |
All answers include correct units and show full work as required.
Parent Tip: Review the logic above to help your child master the concept of perimeter and area word problems worksheet.
