shawn20034
24.06.2019 •
Mathematics
Find the length of the diagonal of a square with perimeter of 24
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Ответ:
d = 6sqrt(2) or 8.4853
Step-by-step explanation:
Formula
P = 4*s
s^2 + s^2 = d^2 where d is the diagonal and s is the side.
Givens
P = 24
Solution
P = 4s Substitute for s
24 = 4*s Divide by 4
24/4 = s
s = 6
d^2 = s^2 + s^2
d^2 = 6^2 + 6^2
d^2 = 36 + 26
d^2 = 72
d = sqrt(72)
Factors of 72
72: 6 * 6 * 2
Rule: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.
sqrt(6*6*2) = 6sqrt(2)
The diagonal length is eitherd = 6*sqrt(2) ord = 8.4853Ответ:
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Step-by-step explanation: