Math Problem Statement

What is the area in spyware meters of a 115 800x400mm rectangles

Solution

To find the area of a rectangle, you multiply its length by its width.

Given:

  • Length = 115,800 mm
  • Width = 400 mm

Area = Length × Width
Area = 115,800 mm × 400 mm
Area = 46,320,000 mm²

Now, to convert square millimeters (mm²) to square meters (m²), we use the fact that: 1 m² = 1,000,000 mm².

So: Area in m² = 46,320,0001,000,000\frac{46,320,000}{1,000,000} = 46.32 m²

Thus, the area of the rectangle is 46.32 square meters.

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Additional Questions:

  1. What is the formula for the area of a rectangle?
  2. How do you convert between units of measurement for area (mm² to m², cm² to m²)?
  3. How can you calculate the perimeter of the rectangle?
  4. What is the significance of converting between square millimeters and square meters?
  5. How can the concept of area apply to real-world examples?

Tip:

When dealing with measurements in different units, always keep track of unit conversions to avoid errors in your final calculations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Rectangle
Unit Conversion

Formulas

Area of a rectangle = Length × Width
Conversion from mm² to m²: 1 m² = 1,000,000 mm²

Theorems

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Suitable Grade Level

Grades 6-8