Math Problem Statement

Write an expression to represent the perimeter and area for the rectangle.

Write your answers in simplified standard form.

Solution

To write expressions for the perimeter and area of the given rectangle, let's use the provided measurements.

Given:

  • One side (height) of the rectangle is 4.
  • The other side (width) of the rectangle is x+3x + 3.

Expressions:

  1. Perimeter of the Rectangle: The perimeter PP of a rectangle is given by the formula: P=2×(length+width)P = 2 \times (\text{length} + \text{width}) Here, the length is x+3x + 3 and the width is 4. Thus, [ P = 2 \times ((x + 3) + 4) = 2 \times (x + 3 + 4

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Math Problem Analysis

Mathematical Concepts

Geometry

Formulas

Perimeter of a rectangle
Area of a rectangle

Theorems

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Suitable Grade Level

Grades 5-7