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The figure is composed of two trapezoids. Measurements are given in feet.What is the area of the figure in square feet?Enter your answer in the box.$$

Question

The figure is composed of two trapezoids. Measurements are given in feet. What is the area of the figure in square feet? Enter your answer in the box.

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Solution

To provide you with an accurate solution for the area of the figure composed of two trapezoids, I would need more specific measurements or a diagram to analyze. However, I can outline the steps to calculate the area assuming you have the necessary dimensions:

1. Break Down the Problem

  1. Identify the measurements of the two trapezoids—specifically, the lengths of the bases (top and bottom) and the height of each trapezoid.
  2. Calculate the area for each trapezoid separately, then sum the two areas to find the total area of the figure.

2. Relevant Concepts

  • The formula for the area A A of a trapezoid is given by: A=(b1+b2)2×h A = \frac{(b_1 + b_2)}{2} \times h where b1 b_1 and b2 b_2 are the lengths of the two bases, and h h is the height of the trapezoid.

3. Analysis and Detail

  1. For trapezoid 1, use the base measurements b1,1 b_{1,1} and b1,2 b_{1,2} and the height h1 h_1 : A1=(b1,1+b1,2)2×h1 A_1 = \frac{(b_{1,1} + b_{1,2})}{2} \times h_1

  2. For trapezoid 2, use the base measurements b2,1 b_{2,1} and b2,2 b_{2,2} and the height h2 h_2 : A2=(b2,1+b2,2)2×h2 A_2 = \frac{(b_{2,1} + b_{2,2})}{2} \times h_2

  3. Sum the areas of the two trapezoids to find the total area Atotal A_{total} : Atotal=A1+A2 A_{total} = A_1 + A_2

4. Verify and Summarize

  • Ensure that all measurements are accurate and that units are consistent (in this case, feet).
  • Double-check calculations to confirm correctness.

Final Answer

Once the areas are calculated with the provided measurements, the total area will be presented in square feet. Please provide the dimensions for the trapezoids to finalize the calculations.

This problem has been solved

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