SOLUTION: A designer of decorative tiles wants to have some custom tiles made in the shape of a rhombus, with one diagonal twice the length of the other. If each side of a tile is to be 16 i

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Question 1083256: A designer of decorative tiles wants to have some custom tiles made in the shape of a rhombus, with one diagonal twice the length of the other. If each side of a tile is to be 16 inches long, what will be the length of its shorter diagonal, to the nearest hundredth of an inch?
Select one:
a. 7.16 in
b. 28.62 in
c. 14.31 in
d. 8.00 in

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
d%5B1%5D=2d%5B2%5D
a=16in
16%5E2=%28d%5B1%5D%2F2%29%5E2%2B%28d%5B2%5D%2F2%29%5E2

256=%285%2F4%29%28d%5B2%5D%29%5E2
256%2F%285%2F4%29=%28d%5B2%5D%29%5E2
204.8=%28d%5B2%5D%29%5E2
d%5B2%5D=sqrt%28204.8%29
d%5B2%5D=14.31

answer: c. 14.31in