Question

A picture has a height that is 4 / 3 its width. It is to be enlarged so that the ratio of height to width remains the same, but

Answer 1

Dimensions of enlargement is height is 16 inch and width is 12 inch.

Step-by-step explanation:

A picture has a height that is 4 / 3 its width.

Let h be the height and w be the width.

Given that

                $h=\frac{4}{3}w$

Area of picture is given by 192 inch²

            A = 192 inch²

          h x w = 192

     $\frac{4}{3}w\times w=192\\\\\frac{4}{3}w^2=192\\\\w^2=144\\\\w=12inch\\\\h=\frac{4}{3}\times 12\\\\h=16inch$

Dimensions of enlargement is height is 16 inch and width is 12 inch.