Math Problem Statement

Jada estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate? The length is 12.63 meters and the width is 3.28 meters.

Solution

The problem on the worksheet asks to find the perimeter of Jada's garden by rounding the length and width to the nearest tenth and then selecting the correct equation representing this estimate.

From the image:

  • The dimensions of the rectangle are given as:
    • Length: 12.63 meters
    • Width: 3.28 meters

Step 1: Round the dimensions

  • The length 12.6312.63 meters rounds to 12.612.6 meters.
  • The width 3.283.28 meters rounds to 3.33.3 meters.

Step 2: Calculate the perimeter

The formula for the perimeter of a rectangle is: P=2×(Length+Width)P = 2 \times (\text{Length} + \text{Width}) Substituting the rounded values: P=2×(12.6+3.3)=2×15.9=31.8metersP = 2 \times (12.6 + 3.3) = 2 \times 15.9 = 31.8 \, \text{meters}

Step 3: Check the options

The option that matches this calculation is: 12.6+3.3+12.6+3.3=31.8meters12.6 + 3.3 + 12.6 + 3.3 = 31.8 \, \text{meters}

Thus, the correct equation is: 12.6+3.3+12.6+3.3=31.8meters\boxed{12.6 + 3.3 + 12.6 + 3.3 = 31.8 \, \text{meters}}

Let me know if you'd like more details or have any further questions!

Here are 5 related questions to deepen your understanding:

  1. How do you round a number to the nearest tenth?
  2. What is the formula for calculating the perimeter of different shapes?
  3. How would the perimeter change if the dimensions were larger or smaller?
  4. How can rounding affect the accuracy of a perimeter estimate?
  5. What are the real-world applications of perimeter calculations?

Tip: Always double-check your rounding, as small rounding errors can impact the final result.

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Math Problem Analysis

Mathematical Concepts

Geometry
Rounding
Perimeter Calculation

Formulas

Perimeter of a rectangle: P = 2 * (Length + Width)

Theorems

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Suitable Grade Level

Grades 5-6