Question

An artist plans to paint a picture. He wants to use a canvas that is similar to a 4 in. tall by 6 in. wide photograph. If the longer horizontal sides of the canvas are 20 in. wide, how high should the canvas be? Give your answer a fraction in simplest form.

Answer 1

ANSWER

40/3 in

EXPLANATION

It is said that the photograph and the canvas are similar. The ratio between corresponding sides of similar figures is constant,

The ratio between corresponding sides is,

$\frac{x}{4in}=\frac{20in}{6in}$

To solve for x, multiply both sides by 4 in,

$x=4in\cdot\frac{20}{6}=\frac{80}{6}in=\frac{40}{3}in$

Hence, the canvas' height should be 40/3 inches.