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Math word problems on a worksheet covering area, perimeter, and cost calculations.

A worksheet with four math word problems involving area, perimeter, and cost calculations for rooms, farms, and banners.

A worksheet with four math word problems involving area, perimeter, and cost calculations for rooms, farms, and banners.

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Show Answer Key & Explanations Step-by-step solution for: 4TH GRADE MATH - AREA & PERIMETER WORD PROBLEMS — Steemit
Let’s solve each problem one by one, step by step.

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Problem 4:

Betty’s bedroom is 16 ft long and 15 ft wide.
She wants to install hardwood flooring at $6.00 per square foot.

First, find the area of the room:
Area = length × width
Area = 16 ft × 15 ft = 240 square feet

Now, multiply the area by the cost per square foot:
Total cost = 240 × $6.00 = $1,440

Final Answer for Problem 4: $1,440

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Problem 5:

Betty also wants base molding around the room.
Cost is $3.00 per foot.

Base molding goes around the edges — that’s the perimeter.

Perimeter of a rectangle = 2 × (length + width)
Perimeter = 2 × (16 + 15) = 2 × 31 = 62 feet

Now, multiply by cost per foot:
Total cost = 62 × $3.00 = $186

Final Answer for Problem 5: $186

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Problem 6:

Rosy’s farm has a perimeter of 84 meters.
Length is 12 meters. Find the area.

We know perimeter of a rectangle = 2 × (length + width)

So:
84 = 2 × (12 + width)
Divide both sides by 2:
42 = 12 + width
Subtract 12 from both sides:
width = 30 meters

Now, area = length × width = 12 × 30 = 360 square meters

Final Answer for Problem 6: 360 m²

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Problem 7:

Tina and Tony’s banner is 12 ft by 9 ft.
Cloth costs $3.00 per square foot.

First, find area:
Area = 12 × 9 = 108 square feet

Now, total cost = 108 × $3.00 = $324

Final Answer for Problem 7: $324

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Final Answer:
Problem 4: $1,440
Problem 5: $186
Problem 6: 360 m²
Problem 7: $324
Parent Tip: Review the logic above to help your child master the concept of perimeter worksheet 4th grade.
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