Question 1152871
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<img src = "https://i.imgur.com/03VXoPd.png">
W = width
L = length = 4W
D = diagonal = 17


Using the pythagorean theorem, we find that,
a^2 + b^2 = c^2
L^2 + W^2 = D^2
(4W)^2 + W^2 = 17^2
16W^2 + W^2 = 289
17W^2 = 289
17W^2 = 289
W^2 = 289/17 ... divide both sides by 17
W^2 = 17
W = sqrt(17) ... apply square root to both sides
4W = 4sqrt(17) ... multiply both sides  by 4
L = 4sqrt(17)


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Answer:


The exact dimensions of the rectangle are: <font color=red size=4>4sqrt(17) cm</font> by <font color=red size=4>sqrt(17) cm</font> cm


The approximate dimensions of the rectangle are: <font color=red size=4>16.492 cm</font> by <font color=red size=4>4.123 cm</font>


since,
sqrt(17) = 4.123
4sqrt(17) = 16.492
approximately
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