# Find Sides Of Rectangle Given Perimeter And Area Word Problem Worksheet

## 6 problems

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.

Algebra 1
Geometry And Measurement

## 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 $2$ feet long. What is the playpen's perimeter?$\newline$$\_\_\_\_$ feet
Solution:
1. Concept of Perimeter: Understand the concept of perimeter for a square. The perimeter of a square is the total length of all four sides. Since all sides of a square are equal in length, the perimeter $P$ can be calculated by multiplying the length of one side $s$ by $4$. $P = 4s$
2. Formula Application: Apply the formula to the given measurements.$\newline$Given that each side of the playpen is $2$ feet long, we can substitute $s$ with $2$ feet in the perimeter formula.$\newline$$P = 4 \times 2$ feet
3. Perimeter Calculation: Calculate the perimeter.$\newline$P = $4 \times 2$ feet = $8$ feet$\newline$The perimeter of the playpen is $8$ feet.

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