Question

p is a rectangle with lengths 60cm and width x cm q is a rectangle with width y cm. the length of q is 20% more than the length of p the area of p is 15% less than the area of q work out the ratio x:y

Answer 1

The ratio of x to y is

1.02/1 = x/y

1.02:1= x:y

Explanation:

Rectangle p

Length = 60 cm

Width = x cm

Area = length* breadth

Area = 60 *x

Rectangle q

Length = 20% more than length of rectangle p

Length = (60*0.2) + 60

Length = 12 +60

Length = 72cm

Width = y cm

Area = 72*y

(72*y)-(72*y *0.15)= 60*x

72y - 10.8y = 60x

61.2y = 60x

61.2/60 = x/y

15.3/15= x/y

5.1/5 = x/y

1.02/1 = x/y