Math Problem Statement

Based on the dimensions in the image, how do I calculate the area of a rectangular plate with two circular cutouts?

Solution

The image you uploaded depicts a rectangular plate with dimensions of 2400 mm by 1200 mm. There are two circular cutouts of equal size, each with a diameter of 350 mm, located on the right side of the rectangle.

To clarify:

  • The length of the rectangle is 2400 mm.
  • The height of the rectangle is 1200 mm.
  • The diameter of each circle is 350 mm.

Would you like to calculate the area of the remaining part of the rectangle after subtracting the areas of the circles, or do you have another question in mind?

Expansion Questions:

  1. Would you like to calculate the area of the two circular cutouts?
  2. How can you find the total area of the rectangle without the cutouts?
  3. Would you like to explore the concept of area subtraction for different shapes?
  4. Are you interested in understanding how to place the circles symmetrically on the rectangle?
  5. Should we calculate the percentage of area removed by the circles compared to the total rectangle?

Tip: When subtracting areas, always ensure to consider the dimensions and align them in the same units for accuracy.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Subtraction of Areas

Formulas

Area of rectangle = length × width
Area of circle = π × (radius)^2
Remaining area = Area of rectangle - 2 × Area of circle

Theorems

Area Calculation Theorem

Suitable Grade Level

Grades 7-10