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Varvara68 [4.7K]
3 years ago
15

A figure is made up of 5 identical squares, the area of the figure is 405 squares inches, what is the perimeter

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
The side length of each square is √(405/5) = 9 inches, but the perimeter of the figure depends on how the squares are arranged.

# # #
# # . . . . . . . . will have a perimeter of 90 inches

# # # # # . . . will have a perimeter of 108 inches⊕
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EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
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Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

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Is 95.045 greater than less than or <br> equal two 95.545
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A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
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Compare and contrast perpendicular bisected and altitude
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