Math Problem Statement

Work out the perimeter of this rectangle.

Solution

The image shows a rectangle on a grid where the task is to calculate the perimeter. The grid scale indicates that each square represents 1 cm.

Step-by-step solution:

  1. Length of the rectangle: By counting the squares along the longer side (horizontal), the rectangle spans 5 squares. Since the scale is in centimeters, the length is 5 cm.

  2. Width of the rectangle: By counting the squares along the shorter side (vertical), the rectangle spans 2 squares. This means the width is 2 cm.

  3. Perimeter formula: The perimeter PP of a rectangle is given by: P=2×(Length+Width)P = 2 \times (\text{Length} + \text{Width}) Substituting the values: P=2×(5+2)=2×7=14cmP = 2 \times (5 + 2) = 2 \times 7 = 14 \, \text{cm}

Thus, the perimeter of the rectangle is 14 cm.

Would you like further details or have any questions?

Here are 5 related questions:

  1. How do you calculate the area of this rectangle?
  2. What would the perimeter be if the length were doubled but the width stayed the same?
  3. Can you calculate the perimeter of a square with a side of 4 cm?
  4. If the rectangle's width increased by 1 cm, what would its new perimeter be?
  5. How would you calculate the perimeter of any polygon?

Tip: Always ensure to match units when calculating perimeter or area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter Calculation

Formulas

Perimeter of a rectangle: P = 2 * (Length + Width)

Theorems

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Suitable Grade Level

Grade 5