Math Problem Statement

What is the area of a rectangle with dimensions 6 cm by 2.8 cm?

Solution

To find the area of the rectangle, we use the formula for the area of a rectangle:

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

From the image, we can see:

  • The length of the rectangle is 6cm6 \, \text{cm}.
  • The width of the rectangle is 2.8cm2.8 \, \text{cm}.

So, we calculate:

Area=6cm×2.8cm=16.8cm2\text{Area} = 6 \, \text{cm} \times 2.8 \, \text{cm} = 16.8 \, \text{cm}^2

Thus, the area of the rectangle is 16.8 cm².

Would you like more details on the calculation, or have any questions?

Here are some related questions that could deepen understanding:

  1. How do you find the perimeter of this rectangle?
  2. What is the area formula for other common shapes, like circles or triangles?
  3. How would the area change if both dimensions were doubled?
  4. How can we verify the units used in the area calculation?
  5. What is the significance of the corners in the rectangle, and do they affect the area?

Tip: When dealing with areas, always ensure the units are consistent and square the units for area measurements.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area of a Rectangle = length × width

Theorems

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Suitable Grade Level

Grades 5-7