Question

You are reducing a map of dimensions 2 ft by 3 ft to fit on a piece of paper 8 in. by 10 in. what are the dimensions of the largest possible map that can fit on the page?

Answer 1

Answer:

The dimensions of the largest possible map that can fit on the page are 10 inches by $6\frac{2}{3}$ inches.

Step-by-step explanation:

You are reducing a map of dimensions 2 ft by 3 ft

Lets change them to inches.

1 foot = 12 inches

So, 2 feet = $2\times12=24$ inches

3 feet = $3\times12=36$ inches

So, dimensions are : 24 inches x 36 inches

$\frac{24}{36}=\frac{2}{3}$

Since 10 inch will be the longer side, we can find the shorter side by :

$\frac{x}{10}=\frac{2}{3}$

$3x=20$

$x=\frac{20}{3}$

or $x=6\frac{2}{3}$ inches

So, the dimensions of the largest possible map that can fit on the page are 10 inches by $6\frac{2}{3}$ inches.