Math Problem Statement

Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 meters wide. Jada estimates the perimeter by rounding the length and width to the nearest whole number. Which equation shows her estimate?

Solution

The problem describes Jada's rectangular garden, which is 12.63 meters long and 3.28 meters wide. Jada is estimating the perimeter by rounding the length and width to the nearest whole number.

Step 1: Round the dimensions

  • The length is 12.63 meters, which rounds to 13 meters.
  • The width is 3.28 meters, which rounds to 3 meters.

Step 2: Calculate the estimated perimeter

The formula for the perimeter PP of a rectangle is: P=2×(Length+Width)P = 2 \times (\text{Length} + \text{Width}) Using the rounded values: P=2×(13+3)=2×16=32 metersP = 2 \times (13 + 3) = 2 \times 16 = 32 \text{ meters}

Step 3: Check the options provided in the image

Jada's estimate corresponds to the equation: 13+3+13+3=32 meters13 + 3 + 13 + 3 = 32 \text{ meters} This matches the option "13 + 3 + 13 + 3 = 32 meters".

Thus, the correct answer is 32 meters.


Do you want more details or have any other questions about this? Here are some related questions:

  1. How do you calculate the perimeter for other shapes?
  2. What is the formula for the area of a rectangle?
  3. How does rounding affect the accuracy of estimates in calculations?
  4. Could Jada's estimate differ if the rounding was to a different decimal place?
  5. What is the exact perimeter of the garden using the unrounded measurements?

Tip: Always double-check rounding instructions to ensure consistency in mathematical estimates.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter Calculation
Rounding Numbers

Formulas

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

Theorems

Rounding to the nearest whole number

Suitable Grade Level

Grades 5-6