Question

Angela uses a scanner to make a reduced-size copy of a rectangular

photo that is 6 inches long and 4 inches wide. The length of the

reduced photo is 4 inches. What is its width?

Answer 1

Answer:

$\dfrac{8}{3}\ \text{inches}$ or $2.67\ \text{inches}$

Step-by-step explanation:

The photo has length 6 inches and width 4 inches.

The ratio of length to breadth is

$\dfrac{l}{w}=\dfrac{6}{4}=\dfrac{3}{2}$

Now the reduced length of the photo is 4 inches.

Let $x$ be the reduced width of the photo

$\dfrac{3}{2}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{3}\times2\\\Rightarrow x=\dfrac{8}{3}\ \text{inches}=2.67\ \text{inches}$

The width of the reduced photo is $\dfrac{8}{3}\ \text{inches}$ or $2.67\ \text{inches}$.