Math Problem Statement

Work out the area of the shape on the grid below.

Solution

The problem asks to find the area of the green rectangle shown on the grid. From the image, it appears that:

  • The scale provided shows each grid square represents 1 cm by 1 cm.
  • The length of the green rectangle is 5 grid squares.
  • The height of the rectangle is 1 grid square.

The formula for the area of a rectangle is:

Area=length×width\text{Area} = \text{length} \times \text{width}

So, applying this:

Area=5cm×1cm=5cm2\text{Area} = 5 \, \text{cm} \times 1 \, \text{cm} = 5 \, \text{cm}^2

Thus, the area of the shape is 5 cm².

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:

  1. How do we calculate the perimeter of this rectangle?
  2. What is the area of a square grid if the length and width were both 5 cm?
  3. How does the area change if the length doubles but the width stays the same?
  4. What is the difference between area and perimeter?
  5. How do we calculate the area of more complex shapes, like triangles?

Tip: Always ensure you're correctly reading the dimensions from the grid to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area of a rectangle = length × width

Theorems

Basic Area Theorem for Rectangles

Suitable Grade Level

Grade 6