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Chapter 7: Problem 8

Pick a grassy area near your class building. Estimate how many blades of grass are in that area. Discuss your methodology.

Short Answer

Expert verified
Answer: To estimate the number of blades of grass in a given area, follow these steps: 1. Select the area to estimate. 2. Measure the dimensions of the area. 3. Calculate the area. 4. Estimate the average density of grass blades. 5. Estimate the total blades of grass by multiplying the average density by the total area.

Step by step solution

01

Select the area to estimate

First, choose the grassy area whose blades of grass you want to estimate. Make sure the area you select is a closed region, like a square or a rectangle, to simplify area calculations.
02

Measure the dimensions of the area

Measure and record the dimensions of the selected area, such as length and width if it's a rectangular area, using a tape measure, a meter stick, or some other measuring tool.
03

Calculate the area

Multiply the dimensions (length and width) to find the total area of the chosen grassy region. If the dimensions are measured in meters, the area will be in square meters. For example, if the chosen area is a rectangular plot of 4 meters by 6 meters, the area would be 4 x 6 = 24 m^2.
04

Estimate the average density of grass blades

This step is crucial, as the total number of grass blades depend on the average density of grass. Choose a smaller partial area within the grassy region, like a 1 m x 1 m square. Count the number of blades of grass inside this partial area by inspection or using a magnifying tool to see clearly. Divide the total number of counted blades by the partial area (1 m^2) to find the average grass blade density per square meter.
05

Estimate the total blades of grass

After finding the average density of grass blades from the previous step, multiply that value by the total area calculated in step 3. This will provide the approximate total number of grass blades in the complete grassy area. For example, if the average grass blade density per square meter is 1000 blades/m^2, and the total area is 24 m^2, the estimated total number of grass blades would be 1000 * 24 = 24,000 blades.

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