Apicture 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?

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

each side has a different length.  

step-by-step explanation:

you can't solve x because it is 2 linear equation and you only have one equation