Posted by **joi** on Wednesday, December 28, 2011 at 7:57am.

A rectangle is divided into 4 parts, A B, C and D. The areas of A: B: C are in the ratio 10:18:5. C is a square with an area of 25cm squared. What is the area of rectangle D?

- maths -
**Reiny**, Wednesday, December 28, 2011 at 8:32am
Make a sketch,

let part A be x by y

let part B be x by 5

let part C be 5 by 5 , the square

then part D is 5 by y

xy : 5x : 25 = 10:18:5

so

xy/10 = 5x/18 = 25/5

using 5x/18 = 25/5

5x = 90

x = 18

then in xy/10 = 25/5

18y/10 = 5

y = 50/18 = 25/9

area of D = 5y = 5(25/9) = 125/9 or 13 8/9

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