Explain how to find the area of the composite figure above in your explanation be sure to include the formulas you will need to solve the problem

9514 1404 393

  40.5 square inches

Step-by-step explanation:

The figure appears to be a trapezoid with bases 15 inches and 12 inches, and a height of 3 inches. The formula for the area of a trapezoid is useful in this case:

  A = 1/2(b1 +b2)h

  A = (1/2)(15 in +12 in)(3 in) = (1/2)(27 in)(3 in) = 40.5 in²

The area of the composite figure is 40.5 square inches.

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Additional comment

You get the same answer if you divide the figure into a rectangle and a triangle. The rectangle is 3 in high by 12 in long, so has an area of ...

  A = bh = (12 in)(3 h) = 36 in²

The triangle has a base of (15 -12) = 3 in, and a height of 3 in. It has an area of ...

  A = 1/2bh = 1/2(3 in)(3 in) = 4.5 in²

Then the total area is the sum of the rectangle and triangle areas:

  figure area = 36 in² +4.5 in² = 40.5 in²

step-by-step explanation: step 3 should really go to step seven, but anyway never mind.

1 ∠oln ≅ ∠lno

sorry not sure

step-by-step explanation: