Math Problem Statement
fill in the table
Solution
Let's fill in the table based on the given data and proper unit conversions.
Row 4:
- Dimensions: 6 cm and 12 dm
- Given Area: 96 dm²
-
Convert 6 cm to decimeters (dm):
-
Calculate the area using the formula:
Since the calculated area (7.2 dm²) doesn't match the given area (96 dm²), it seems the given area was intended to be 7.2 dm² but could be misprinted.
Row 5:
- Dimensions: 8 m and 7 m
- Given Area: 168 m²
- Calculate the area using the formula:
Given the significant difference, it's likely that the area should be 56 m² instead of 168 m².
Filled Table
Row | Length (Unit) | Width (Unit) | Area (Unit) |
---|---|---|---|
4 | 6 cm (0.6 dm) | 12 dm | 7.2 dm² |
5 | 8 m | 7 m | 56 m² |
Please confirm or correct any of these if necessary. Would you like any further exploration or another calculation? Here are five questions to consider:
- How would the area calculation change if both dimensions in Row 4 were provided in centimeters?
- What would the area be if the width in Row 4 were 12 cm instead of 12 dm?
- If the area in Row 5 was indeed 168 m², what would the necessary dimensions be to achieve this?
- How can you verify the correctness of measurements and units in similar problems?
- What might cause such discrepancies between calculated and given areas?
Tip: When filling in tables or solving problems with measurements, always double-check the consistency of units to avoid errors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Unit Conversion
Area Calculation
Formulas
Area of a rectangle: length × width
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Convert House Area from Square Meters to Square Centimeters
Solving Area Calculation Problems: Understanding Units Conversion and Formula Application
Understanding Area Conversion: 200 cm² to 20 cm and 10 cm
Area Unit Conversion: m², cm², dm², and Hectares
Calculating the Area of Rectangles with Different Units