P is a rectangle with 40cm and a width of x cm q is a rectangle with the width of ym

we know that

the length of Q is 25% more than the length of p

so

length Q=1.25*40> 50 cm

the area of Q is 10% less than the area of p

Area Q=50*y

Area P=40*x

so

50*y=0.90*[40*x]> 50*y=36*x> x/y=50/36---> 25/18

the answer 

the ratio x:y is 25:18

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