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

height(h) = 4/3 x

width(w) = x

(hw) = 192, but to substitute

(4/3 x)(x) = 4/3 x^2

Since 4/3 x^2 = 192, the reciprocal is used to isolate x, so multiply 3/4 on both sides

3/4 x 4/3 x^2 = 192 x 3/4

x^2  = 144

x = 12

height = 4/3(12) = 16

width = 12