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A rectangular rug is 24 feet long and 10 feet wide. A rhombus design is formed inside the rug by joining the midpoints of each side of the rectangle. What is the length of each side of the rhombus?

Respuesta :

Hey There @Quey11,

[tex] \boxed{13 \text { feet}} [/tex]

Solution

The half-side lengths are 5 feet and 12 feet, the pythagorean theorem will help us solve for the answer.

[tex] 5^{2} +12^{2}= x^2 [/tex]

[tex] 5^2 = 25 [/tex]

[tex] 12 ^ 2 = 144 [/tex]

[tex] 144 + 25 = 169 [/tex]

[tex] c = 169 [/tex]

[tex] x = \sqrt{169} [/tex]

[tex] x = 13 [/tex]

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