SOLUTION: A RECTANGLE LOT HAS A WIDTH OF 21 YARDS AND A DIADNAL OF 34 YARDS. WHAT IS THE LENGHTH OF THE LOT?

Algebra ->  Rectangles -> SOLUTION: A RECTANGLE LOT HAS A WIDTH OF 21 YARDS AND A DIADNAL OF 34 YARDS. WHAT IS THE LENGHTH OF THE LOT?      Log On


   

Question 407613: A RECTANGLE LOT HAS A WIDTH OF 21 YARDS AND A DIADNAL OF 34 YARDS. WHAT IS THE LENGHTH OF THE LOT?
Answer by graphmatics(170) About Me  (Show Source):
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Let x = The Length of the Rectangle. Given the Width then
the equation relating Length, Width and Diagonal is
Width^2 + Length^2 = Diagonal^2
21^2 + x^2 = 34^2
x^2 = 34^2 - 21^2
x^2 = 1156 - 441
x^2 = 715
x = 715^(1/2)
x = 26.7394
The Length of the Rectangle = 26.7394