Hr7eneePliven Hr7eneePliven

15-06-2016
Mathematics

Answered

CExpress the diagonal of a rectangle, D, in terms of its width, w, if the area of the rectangle is 13 square feet.

D(w) =

Verified Answer :

HomertheGenius HomertheGenius

20-06-2016

Diagonal of a rectangle:
D²=W²+L² ( W-width, L-length)
The area : W*L= 13 ⇒ L=\(\frac{13}{W}\)
D=\(\sqrt{W^{2} + (\frac{13}{W})^{2} } = \sqrt{W^{2} + \frac{169}{W^{2} } }= \\ = \sqrt{ \frac{W^{4}+169 }{W^{2} } }= \frac{ \sqrt{W^{4} +169} }{W}\)

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