Question

On the rectangle shown below, the ratio of base to height is 12:5.If you created a new rectangle by doubling the length of the base and tripling the height, would the newrectangle be proportional to the original? Show your thinking mathematically.5 in12 in

Answer 1

given the following

base = 12

height = 5

recall that

Area of reactangle = base x height

A = 5 x 12

A = 60

New rectangle

H = 3 x 12 = 36 since its trippled

B = 2 x 5 = 10 since its doubled

Area = 36 x 10

Area = 360

therefore 60:360 = 1:6

which shows its proportional