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Mariulka [41]
3 years ago
8

What is the area of the polygon??

Mathematics
1 answer:
atroni [7]3 years ago
3 0
In fact the answer to that would be A. 186 square units.
lets divide the polygon into sections.
the longer rectangle at the bottom has a length of 24 by adding all the numbers
It also has a side width of 5, so 24x5=120. 
Onto section 2, you can see the smaller rectangle on top has a length of 11
and width of 5, so 11x6=66. so in total 66+120=186. and that is the square units of this polygon

Hope this helped.
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Determine the area of the triangular ABC with AC=5cm and height DB=30 mm.<br>​
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Answer:

750 mm²

Step-by-step explanation:

<h3>Area of triangle:</h3>

To find the area of the triangle, multiply the base and height and then divide the result by 2.

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base = AC = 5 cm = 50 mm

height = DB = 30 mm

                                       \sf = \dfrac{1}{2}*50*30\\\\= 25 *30\\\\= 750 \mm^2

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Step-by-step explanation:

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find the fraction of the area of a triangle that is occupied by the largest rectangular that can be drawn in the triangle (with
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Answer:

½

Step-by-step explanation:

Draw a picture of the triangle with the rectangle inside it.

Let's say the width and height of the triangle are w and h (these are constants).

Let's say the width and height of the rectangle are x and y (these are variables).

The area of the triangle is ½ wh.

The area of the rectangle is xy.

Using similar triangles, we can say:

(h − y) / h = x / w

x = (w/h) (h − y)

So the rectangle's area in terms of only y is:

A = (w/h) (h − y) y

A = (w/h) (hy − y²)

We want to maximize this, so find dA/dy and set to 0:

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0 = (w/h) (h − 2y)

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So the width of the rectangle is:

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That means the area of the rectangle is:

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½

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