Math Problem Statement

Calculate area

Calculate area

Solution

The image you've uploaded contains a rectangular shape with the following dimensions:

  • Left side: 7 feet 4 inches
  • Top side: 9 feet 2 inches
  • Right side: 7 feet 2 inches
  • Smaller top part: 3 feet 7 inches

We can break this down into two sections to calculate the total area.

Breakdown of the Shape:

  1. Large rectangle (left):

    • Height = 7 feet 4 inches = 7+412=7.337 + \frac{4}{12} = 7.33 feet.
    • Width = 9 feet 2 inches = 9+212=9.179 + \frac{2}{12} = 9.17 feet.

    Area of large rectangle: A1=7.33×9.17=67.27sq ftA_1 = 7.33 \times 9.17 = 67.27 \, \text{sq ft}

  2. Small rectangle (right):

    • Height = 3 feet 7 inches = 3+712=3.583 + \frac{7}{12} = 3.58 feet.
    • Width = 9 feet.

    Area of small rectangle: A2=3.58×9=32.22sq ftA_2 = 3.58 \times 9 = 32.22 \, \text{sq ft}

Total Area:

Total Area=A1+A2=67.27+32.22=99.49sq ft\text{Total Area} = A_1 + A_2 = 67.27 + 32.22 = 99.49 \, \text{sq ft}

Thus, the total area is approximately 99.49 square feet.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you convert inches into feet accurately?
  2. What is the difference between area and perimeter?
  3. How do you calculate the perimeter of a composite shape like this?
  4. How would this calculation change if the units were in meters instead of feet?
  5. What would happen to the area if one of the sides was doubled?

Tip: When converting inches to feet, divide the number of inches by 12 to get the decimal form of a foot.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Composite Shapes

Formulas

Area of a Rectangle = Length × Width

Theorems

Basic Area Calculation for Rectangles

Suitable Grade Level

Grades 6-8