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Shkiper50 [21]
3 years ago
6

10 pats!! Find the area of the following shape. You must show all work to receive credit!!

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

  54 units²

Step-by-step explanation:

A line from E to B will divide the figure into triangle ABF and trapezoid BEDC. The triangle has base BF = 10 and height AE = 3. The area of that is ...

  A = 1/2bh = 1/2·10·3 = 15 . . . . units²

The trapezoid has bases DC = 7 and EB = 6, and height BC = 6. The area of it is ...

  A = 1/2(b1 +b2)h = (1/2)(7+6)(6) = 39 . . . . units²

The total area of the figure is the sum of these:

  figure area = triangle area + trapezoid area

  = 15 units² +39 units² = 54 units²

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Help______________________________________
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The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.

<h3>Meaning of Simultaneous Equation.</h3>

A simultaneous equation can be defined as an equation that possesses two unknowns and one constant.

The solution to the problem can only be gotten by solving it side by side with another equation of the same format.

In conclusion, The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.

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