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Reese1394
26.02.2021 •
Mathematics
PLEASE HELP ME
Clifford drew a triangle as shown below. He wants to enlarge the drawing proportionally so that the
longest side will be 15 inches.
What will be the length of the shortest side of his enlarged drawing?
F 2.5 inches
G 8 inches
H9 inches
J 10 inches
PLEASE HELP ME
Solved
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Ответ:
Area of a triangle = 1/2 * base * height.
So that lil triangle piece is 1/2 * 2 * 3 = 1/2 * 6 = 3
Now we do the rectangle piece. Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21
If you take away those two, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is the width of the rectangle which is 3. Base 2 is the 6. The height is the given 11 feet minus the 7 feet from the length of the rectangle which is 4.
Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.
Now add all of your areas together;
21 + 3 + 18 = 24 + 18 = 42