Question

A picture has a height that is 4/3 its width. It is to be enlarged to have an area of 192 square inches. What will be the dimensions of the enlargement?

Answer 1

12 in wide by 16 in high

Explanation:

Let w represent the width of the enlarged picture. Then the height is (4/3)w, and the area is the product of width and height:

... area = width × height

... 192 in² = w × (4/3)w . . . . substitute the given information

... 192 in² = (4/3)w² . . . . . . . simplify

... 144 in² = w² . . . . . . . . . . . multiply by 3/4

... 12 in = w . . . . . . . . . . . . . .take the square root

... height = (4/3)w = (4/3)(12 in) = 16 in