Math Problem Statement

Find the perimeter and area of the given figures.

Solution

It looks like you've uploaded an image that contains several geometry problems. Let me go over the calculations for the perimeter and area of the figures. Here's a breakdown of the answers shown:

Problem 7:

  • Shape: Rectangle (3 yards by 4 yards)
    • Perimeter: P = 2(3 + 4) = 2(7) = 14 yards
    • Area: A = 3 × 4 = 12 square yards

Problem 8:

  • Shape: Square with side length 3 ft
    • Perimeter: P = 4 × 3 = 12 feet
    • Area: A = 3 × 3 = 9 square feet

Problem 9:

  • Shape: Rectangle (8 cm by 17 cm)
    • Perimeter: P = 2(8 + 17) = 2(25) = 50 cm
    • Area: A = 8 × 17 = 136 square centimeters

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter
Area
Basic Arithmetic

Formulas

Perimeter of a rectangle: P = 2(length + width)
Perimeter of a polygon: Sum of all side lengths
Area of a rectangle: A = length × width
Area of a parallelogram: A = base × height
Area of a triangle: A = (1/2) × base × height

Theorems

Basic properties of geometric shapes

Suitable Grade Level

Grades 6-8