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How do you find the area of a compound shape, given its dimensions?

Mathematics

ScanSolve AI Answer

To find the area of the compound figure, we will decompose it into several simpler shapes: rectangles and triangles.

Let's break down the figure into distinct parts:

  1. Bottom Vertical Rectangle (R1):

    • This is the lowest vertical bar.
    • Width = 2 yd2 \text{ yd}
    • Height = 8 yd8 \text{ yd}
    • Area R1 = 2 yd×8 yd=16 yd22 \text{ yd} \times 8 \text{ yd} = 16 \text{ yd}^2
  2. Middle Horizontal Rectangle (R2):

    • This is the horizontal bar directly above R1.
    • Its height is given as 2 yd2 \text{ yd}.
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