Math Problem Statement

Find the perimeter of the shape consisting of rectangles. The shape is made up of a larger rectangle with dimensions 16 ft by 29 ft and a smaller rectangle on top with dimensions 9 ft by 6 ft.

Solution

To find the perimeter of the given shape consisting of rectangles, we need to add up the lengths of all the sides that make up the outer boundary of the shape.

Step-by-Step Calculation:

  1. Identify all the sides of the shape:

    • Bottom horizontal side: 2929 ft
    • Left vertical side: 1616 ft
    • Top horizontal side: 99 ft
    • Short horizontal segment next to 99 ft: 66 ft
    • Vertical segment between 99 ft and 66 ft: 96=39 - 6 = 3 ft
    • Right vertical side: 1616 ft
  2. Add up the lengths to calculate the perimeter:

    • The perimeter PP is the sum of all these sides: P=29+16+9+6+3+16=79ftP = 29 + 16 + 9 + 6 + 3 + 16 = 79 \, \text{ft}

Final Answer:

The perimeter of the shape is 79 ft.

Would you like more details or have any questions?

Related Questions:

  1. How do you find the perimeter of different polygon shapes?
  2. What is the difference between perimeter and area?
  3. How can you find the perimeter of a circle?
  4. What is the perimeter of a regular pentagon with a side length of 5 ft?
  5. How do you calculate the area of complex shapes?

Tip:

Always remember to double-check the dimensions given in diagrams, especially when calculating perimeters or areas of composite shapes.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter Calculation

Formulas

Perimeter of a polygon = Sum of the lengths of all sides

Theorems

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Suitable Grade Level

Grades 5-7