Answer:
1.) 49.5 mm ^2
2.) 183 in. ^ 2
Step-by-step explanation:
So for number one, it's a very irregular shape, but luckily, we can split it vertically! Into a triangle & a quadrilateral.
The area of the quadrilateral would be
6*7 = 42
The triangle is more difficult, because its not directly given, <em>BUT, </em>we do know that the height would have to be 6 minus 3, and the base would be 12 minus 7... So the equation is
Now, the rectangle and the triangle account for the total area in this case, when you add them, you get 49.5 mm ^2
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For the second, we have a trapezoid with a triangular cutout, the area of a trapezoid is defined as:
Luckliy, none of the numbers of the bases, or height, are hidden. The height is 18, the larger base is 51, and the smaller is 24.
So, the trapezoid area is 243 in ^2. But we aren't done, we still have the triangle! It will be easy though!
Remember, the formula for a triangle is half the base times the height. These numbers are directly given to us!
Now, since the triangle is NOT SHADED, we subtract it's area from the trapezoid's...
The area is 183 in. ^ 2
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