Pregunta
- Algebra All 4 sides of a rectangle
have the same length. If the
perimeter is 16 inches, what is the
have the same length. If the
perimeter is 16 inches, what is the
Ask by May Schmidt. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Each side of the square is 4 inches long.
Solución
Certainly! Let’s solve the problem step by step.
Problem Statement:
All 4 sides of a rectangle have the same length. If the perimeter is 16 inches, what is the length of each side?
All 4 sides of a rectangle have the same length. If the perimeter is 16 inches, what is the length of each side?
Solution:
-
Understand the Shape:
- If all four sides of a rectangle are equal in length, the shape is a square.
-
Formula for Perimeter:
- The perimeter
of a rectangle (or square) is calculated by: - However, since it’s a square, the length and width are the same. Let’s denote each side as
.
- The perimeter
-
Given Perimeter:
-
inches
-
-
Set Up the Equation:
-
Solve for
:
Answer:
Each side of the rectangle (which is a square) is 4 inches long.
Each side of the rectangle (which is a square) is 4 inches long.
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Como
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Beyond the Answer
To solve for the length of a side of the rectangle (which in this case is actually a square since all sides are equal), you can use the formula for the perimeter of a square:
, where
is the length of one side. Given that the perimeter is 16 inches, you can set up the equation:
. Dividing both sides by 4 gives you
inches.
In real life, understanding the properties of squares and rectangles helps in various fields like architecture and design. For instance, when designing a room or a piece of furniture, knowing how to calculate dimensions based on perimeter can help ensure that everything fits perfectly in the space. It’s all about making those practical designs work!
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