Leslie is blowing up one of 2.1 her favorite photographs to
hang on her wall. If the
photo's original length and
height were 8 inches and 15 inches, and the new height is 4 feet, how many feet must the new picture be?
To find the new length of the picture, we can use proportions.
Let's set up the following proportion:
(original length) / (original height) = (new length) / (new height)
Plugging in the given values, we get:
8 inches / 15 inches = (new length) / 4 feet
Next, we need to convert inches to feet. Since there are 12 inches in a foot, we can divide both sides of the equation by 12:
8 inches / (15 inches/foot) = (new length) / 4 feet
Simplifying the left side, we have:
(8/15) foot = (new length) / 4 feet
To solve for the new length, we can cross-multiply:
(8/15) foot * 4 feet = (new length)
Multiplying, we get:
(32/15) foot = (new length)
Therefore, the new length of the picture must be 32/15 feet.