Find Sides Of Rectangle Given Perimeter And Area Word Problem Worksheet

Algebra 1
Geometry And Measurement

Total questions - 6

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How Will This Worksheet on "Find Sides of Rectangle or Square Given Perimeter and Area Word Problem" Benefit Your Student's Learning?

  • Reinforce understanding and application of perimeter and area formulas.
  • Enhance problem-solving abilities by working backwards.
  • Develop algebra skills through solving equations.
  • Promote critical thinking with word problems.
  • Show real-world applications of math concepts.
  • Boost confidence in handling complex problems.
  • Increase engagement through interactive activities.
  • Lay a foundation for advanced geometry and algebra topics.

How to Find Sides of Rectangle Given Perimeter and Area Word Problem?

  • Read the problem, and identify the given information from the word problem.
  • Understand that the perimeter is the total distance around the shape.
  • Recognize that the area is the space inside the rectangle.
  • Set up equations based on the given perimeter and area.
  • Solve the equations to find the length and width.

Solved Example

Q. A square playpen has sides that are 22 feet long. What is the playpen's perimeter?\newline____\_\_\_\_ feet
Solution:
  1. Concept of Perimeter: Understand the concept of perimeter for a square. The perimeter of a square is the total length of all four sides. Since all sides of a square are equal in length, the perimeter PP can be calculated by multiplying the length of one side ss by 44. P=4sP = 4s
  2. Formula Application: Apply the formula to the given measurements.\newlineGiven that each side of the playpen is 22 feet long, we can substitute ss with 22 feet in the perimeter formula.\newlineP=4×2P = 4 \times 2 feet
  3. Perimeter Calculation: Calculate the perimeter.\newlineP = 4×24 \times 2 feet = 88 feet\newlineThe perimeter of the playpen is 88 feet.
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About Worksheet

Algebra 1
Geometry And Measurement

The topic find sides of rectangle or squares given perimeter and area word problem involves finding the sides of a rectangle or squares when its perimeter and area are given. Students use the formulas for perimeter (\(P = 2 \times (length + width)\)) and area (\(A = length \times width\)) to set up and solve equations. This type of problem requires understanding the concepts of perimeter and area, as well as applying mathematical formulas to find the unknown dimensions.

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