Math Problem Statement

The perimeter of the given rectangle is 108 cm. The value of x = ?

Solution

The image shows a rectangle with one side labeled as 8cm8 \, \text{cm} and the other as 6cm6 \, \text{cm}. It also states that the total perimeter of the rectangle is 108cm108 \, \text{cm}. We need to find the value of xx.

Explanation

For a rectangle, the perimeter formula is:

Perimeter=2×(Length+Width)\text{Perimeter} = 2 \times (\text{Length} + \text{Width})

Given:

  • Perimeter = 108cm108 \, \text{cm}
  • Length = 8cm8 \, \text{cm}
  • Width = 6cm6 \, \text{cm}

Plugging these values into the formula:

108=2×(8+6)108 = 2 \times (8 + 6)

Simplifying:

108=2×14108 = 2 \times 14 [ 108 = 28 \times x To solve

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter of a Rectangle

Formulas

Perimeter of a rectangle = 2 × (Length + Width)

Theorems

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Suitable Grade Level

Grades 6-8