Question

P is 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 PLEASE HELP ME ANSWER THIS QUESTIONN

Answer 1

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)
Answer:
the ratio of x:y is:
25:18