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malfutka [58]
2 years ago
13

Show how to subdivide and recombine the parallelogram below to form a B by H rectangle thereby explaining why the area of the pa

rallelogram is B times H.

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
5 0

Below is the proof why the area of a parallelogram is B times H

<h3>How to form a rectangle from the parallelogram</h3>

The following steps would create a rectangle from the parallelogram

  • Step 1: Cut out the triangular part of the parallelogram
  • Step 2: Attach the triangular part to the other end of the parallelogram

See attachment for the steps.

When the rectangle has been created, we have the following dimensions:

Length = h

Width = B

The area of a rectangle is:

Area = Length * Width

This gives

Area = h * B

Evaluate

Area = Bh

Hence, the area of a parallelogram is B times H

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

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Step-by-step explanation:

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  • In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, y. In this case, we need to isolate y in the first equation so that both equations =y.

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\frac{3y}{3}=\frac{-2x+1}{3}

y=-\frac{2}{3}x+\frac{1}{3}

  • With this, we now know that both -2-9 and -\frac{2}{3}x+\frac{1}{3} are equal to y, so we can set them equal to each other.

y=-\frac{2}{3}x+\frac{1}{3}

y=-11

-\frac{2}{3}x+\frac{1}{3}=-11

  • Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for x.

-\frac{2}{3}x+\frac{1}{3}=-11

-\frac{2}{3}x=-11-\frac{1}{3}

-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}

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x=\frac{102}{6}=17

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  • Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

 

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