SOLUTION: The perimeter of rectangle is 64 units. The ratio of its length to width is 5 : 3 Determine the length of a diagonal of the rectangle.
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Question 246295: The perimeter of rectangle is 64 units. The ratio of its length to width is 5 : 3 Determine the length of a diagonal of the rectangle. Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! 2(5X)+2(3X)=64
10X+6X=64
16X=64
X=64/16
X=4
5*4=20 ANS. FOR ONE SIDE.
3*4=12 ANS. FOR THE OTHER SIDE.
PROOF:
5:3=20:12 REDUCE THE FRACTION.
5:3=5:3
2*20+2*12=64
40+24=64
64=64
SOLVE FOR THE HYPOTENUSE OF THIS RIGHT TRIANGLE WITH SIDES=12 & 20.
12^2+20^2=C^2
144+400=C^2
544=C^2
C=SQRT544
C=23.324 ANS. FOR THE DIAGONAL.
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