SOLUTION: 2 consecutive sides of a rectangle are in the ratio 5 to 7. the area is 140 cm. find the dimensions of rectangle

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Question 838167: 2 consecutive sides of a rectangle are in the ratio 5 to 7. the area is 140 cm. find the dimensions of rectangle
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the short side of the rectangle
Let = the long side of the rectangle
Set up the ratio:
(1)
You are given that:
(2)
-----------------------
Multiply both sides of (1) by
(1))
and
Divide both sides of (2) by
(2)
Substitute (2) into (1)
(1)
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
The sides are 10 cm and 14 cm

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