Question

P is a rectangle with length 80cm 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 20% less than the area of p
work out the ratio x:y
give your answer in its simplest form

Answer 1

x:y = 25:16

Explanation:

L of q = 80 * (125/100) = 100cm

Area of p = 80x cm^2

area of q = 20% less than area of p

area of q = 80x * (80/100) = 64x cm^2

100y cm ^2 = 64x cm^2

x/y = 100/64 = 25/16

x:y = 25:16