SOLUTION: The dimensions of a rectangle are in a 4:5 ratio. If the shorter side length is 32 cm, what is the length of the longer side in centimetres?

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Question 1066467: The dimensions of a rectangle are in a 4:5 ratio. If the shorter side length is 32 cm, what is the length of the longer side in centimetres?

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
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The dimensions of a rectangle are in a 4:5 ratio. If the shorter side length is 32 cm, what is the length of the longer side in centimetres?
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%2832%2F4%29%2A5 = 40 cm


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The dimensions of a rectangle are in a 4:5 ratio. If the shorter side length is 32 cm, what is the length of the longer side in centimetres?
Since it's a 4:5 ratio, then shorter side = matrix%281%2C3%2C+4%2F%284+%2B+5%29%2C+or%2C+4%2F9%29, which represents 32 cm

With L being the longer side, we get the following PROPORTION: %284%2F9%29%2F%285%2F9%29+=+32%2FL

%284%2F9%29+%2A+L%22=%22%285%2F9%29+%2A+32 ------- Cross-multiplying

4L%2F9+=+5%2832%29%2F9

9(4)L = 9(5)(32) ------- Cross-multiplying, again

L, or longer side =