Math Problem Statement

Calculate the Area of the two red rectangles together

Calculate the Area of the two red rectangles together

Solution

To find the area of the two red rectangles together, let's examine their dimensions based on the provided image.

The dimensions for each red rectangle are:

  • Width: 5cm5 \, \text{cm}
  • Height: 10cm10 \, \text{cm}

The area of a rectangle is given by the formula: Area=width×height\text{Area} = \text{width} \times \text{height}

Step 1: Calculate the area of one red rectangle. Area of one red rectangle=5cm×10cm=50cm2\text{Area of one red rectangle} = 5 \, \text{cm} \times 10 \, \text{cm} = 50 \, \text{cm}^2

Step 2: Calculate the area of both red rectangles together. Since there are two red rectangles, the total area of both is: Total area of both red rectangles=2×50cm2=100cm2\text{Total area of both red rectangles} = 2 \times 50 \, \text{cm}^2 = 100 \, \text{cm}^2

Answer:

The area of the two red rectangles together is 100cm2100 \, \text{cm}^2.

Would you like further details on this solution, or have any questions?

Here are some related questions for further exploration:

  1. What is the perimeter of one red rectangle?
  2. How would the total area change if the dimensions of each rectangle doubled?
  3. What is the total area of all rectangles shown in the image?
  4. How do the areas of the red rectangles compare to the blue rectangles?
  5. What is the area difference between the largest and smallest rectangles in the image?

Tip: When calculating areas, remember to square the units (e.g., cm2\text{cm}^2) as it represents a two-dimensional measure.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation

Formulas

Area of a rectangle = width × height

Theorems

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Suitable Grade Level

Grades 4-6