Math Problem Statement

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Examine the shape made with algebra tiles. Write an expression that represents the perimeter and area of the shape, and evaluate both for x=6 and y=10 units.

Solution

To solve this problem, we need to analyze the shape made with algebra tiles shown in the image, although the shape is not very clear in the image. However, the problem asks to:

Part a:

  • Write an expression that represents the perimeter of the shape: The perimeter is the total distance around the edge of the shape. We will need to sum the lengths of all sides of the given shape, which would be expressed in terms of variables xx and yy.
  • Evaluate the perimeter for x=6x = 6 and y=10y = 10.

Part b:

  • Write an expression that represents the area of the shape: The area is the sum of the areas of all the individual rectangles that make up the shape.
  • Evaluate the area for x=6x = 6 and y=10y = 10.

I can help more specifically if the dimensions of the smaller rectangles are clearer. Could you confirm if the dimensions of the smaller algebra tiles are labeled, or if the shape is a combination of rectangles with dimensions involving xx and yy? Otherwise, I can provide a general explanation of how to find the perimeter and area based on assumptions.

Let me know if you need clarification on the process!

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometry
Perimeter
Area

Formulas

Perimeter of a shape = sum of all side lengths
Area of a rectangle = length × width

Theorems

Basic Perimeter and Area Calculations for Rectangles

Suitable Grade Level

Grades 6-8