Pis a rectangle with a length 40 cm and width x cm q is a rectangle with width y cm the length of q is 25% more than the length of p the area of q is 10% less than the area of p work out the ratio of x: y give your answer in its simplest form

x : y  is 25 : 18

Rectangle P

Rectangle Q

The length of Q is 25% more than the length of P. Therefore,

The area of Q is 10% less than the area of P

Area of Q = 50y

50y = 40x - 4x

50y = 36x

divide both sides by 2

25y = 18x

25 = 18x/y

25/18  = x/y

x : y  is 25 : 18

Check similar working here:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8