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
someone me answer this questionn

The first thing we must do for this case is to look for the area of each rectangle.
 We have then:
 A1 = (40) * (x)
 A2 = (1.25 * 40) * (y)
 Then, we have the following relationship between areas:
 "the area of Q is 10% less than the area of p"
 A2 = 0.9 * A1
 Substituting values we have:
 (1.25 * 40) * (y) = 0.9 * ((40) * (x))
 We rewrite:
 50y = 36x
 The relationship x: y is:
 x / y = (50) / (36)
 Simplifying:
 x / y = (25) / (18)
 
 the ratio of x:y is:
 25:18