Question

P is a rectangle with length 40 cm and width x cm. Q is a rectangle with width y cm. P 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 x : y x cm Give your answer in its simplest form. 40 cm Q y cm

Answer 1

From rectangle P and Q, the ratio of x to y is 25/18

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Area of P = 40 * x = 40x cm²

Area of Q = y * (1.25 * 40) = 50y cm²

Given that area of Q = 90% if P = 0.9(40x) = 36x cm²

50y cm² = 36x cm²

x/y = 50/36 = 25/18

From rectangle P and Q, the ratio of x to y is 25/18

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