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Serga [27]
3 years ago
8

How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m?

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
   
\displaystyle\\
\bold{A= b \times h} \\  \\ 
\bold {\Longrightarrow~~~ b =  \frac{A}{h} =   \frac{100}{5} =}~  \boxed{\bold{20~m }}



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Semenov [28]

If the slope of AB = CD and BC = AD it's a parallelogram:

Slope of AB = 6+1 / -9+5 = -7/4

CD = -2-5 / 3+1 = -74

These are equal.

BC = 5-6 / -1 +9 = -1/8

AD = -2 +1 / 3+5 = -1/8

These are also equal so it is a parallelogram.

Now to find if the diagonals are perpendicular find the slope of the perpensicular points:

AC = 5 +1 / -1 +5 = 6/4 = 3/2

BD = 6+2 / -9 -3 = 8/-12 = -2/3

Because BD is the reciprocal of AC, this means they are perpendicular.

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<h2>Check out the image.</h2>

Step-by-step explanation:

Let, the equation of the straight line is y = mx + c; where m is the slope of the equation and c is the constant.

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Hence, the equation becomes y = x + c.

Since, the line passes through (-6, -2), -2 = -6 + c or, c = 4.

Hence, the equation of the straight line becomes y = x + 4.

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