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andreyandreev [35.5K]
3 years ago
14

The perimeter of a square is 20. What is the length of one of the diagonals of the square? Show work or explain how you obtained

your answer
Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

The perimeter of a square is 20

if length of the square is x

perimeter of a square = x + x+ x + x = 4x = 20

4x = 20

x= 20/4

x = 5

Let get the length of one of the diagonal is y

According to the Pythagoras  low,

y^2 = x^2 + x^2

y^2 = 5^2 + 5^2

y^2 = 25 + 25

y^2 = 50

y= sqrt(50)

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Step-by-step explanation:

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123 cm²

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Refer to attachment.

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AveGali [126]

Answer:

\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}

Step-by-step explanation:

<u>Using Pythagorean Theorem first to find EC</u>

\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm

<u>Given that:</u>

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<u>ABCD is a trapezoid / trapezium</u>

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