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 Ratio Problem Sum
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By: rpgwwk (offline)  Tuesday, March 06 2012 @ 12:12 AM CST (Read 15232 times)  
rpgwwk

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A square is divided into four parts W, X, Y and Z.
The ratio of the area of W to X is 7 : 8.
The ratio of the area of Y to Z is 3 : 2.
(a) What fraction of the square is part Y? (Give your answer in the simplest form)
(b) If part Z is smaller than part X by 10 cm2, find the area of the square.

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By: awyw1201 (offline)  Tuesday, March 06 2012 @ 01:46 AM CST  
awyw1201

Is there a diagram for this question?

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By: rpgwwk (offline)  Tuesday, March 06 2012 @ 11:02 AM CST  
rpgwwk

Yes.

Please see the attached.

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By: awyw1201 (offline)  Tuesday, March 06 2012 @ 08:28 PM CST  
awyw1201

In the diagram, the diagonal cuts it into two equal parts.
Thus, W + X = Y + Z

So looking at the ratios, we need to equalise the total number of units.

L.C.M of 15 and 5 is 15. Therefore, we need to multiply Y : Z by 3.

W : X = 7 : 8
Y : Z = 9 : 6

8-6 = 2u----10
1u---5
30u---150

Ans: 150 sqaure cm.

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By: awyw1201 (offline)  Tuesday, March 06 2012 @ 08:29 PM CST  
awyw1201

Sorry, ans to (a) is 9/30

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