Math Problem Statement

Find the perimeter and area of the rectangle with dimensions of 7 yards and 2 yards.

Solution

The image shows a question asking for the perimeter and area of a rectangle with given dimensions of 7 yards (length) and 2 yards (width).

Let's calculate both values:

1. Perimeter of a Rectangle:

The perimeter PP of a rectangle is given by the formula: P=2×(length+width)P = 2 \times (\text{length} + \text{width}) Substitute the given values: P=2×(7+2)=2×9=18yardsP = 2 \times (7 + 2) = 2 \times 9 = 18 \, \text{yards}

2. Area of a Rectangle:

The area AA of a rectangle is given by the formula: A=length×widthA = \text{length} \times \text{width} Substitute the values: A=7×2=14square yardsA = 7 \times 2 = 14 \, \text{square yards}

Final Answers:

  • Perimeter: 18 yards
  • Area: 14 square yards

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

  1. How do you calculate the perimeter of a triangle?
  2. What is the formula for the area of a circle?
  3. How would the formulas change if this were a square?
  4. What would be the perimeter and area if the rectangle's dimensions were doubled?
  5. How can we find the diagonal length of the rectangle?

Tip: Always ensure you're using the same units for both length and width when calculating perimeter or area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Measurement

Formulas

Perimeter of a rectangle: P = 2 × (length + width)
Area of a rectangle: A = length × width

Theorems

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Suitable Grade Level

Grades 4-6