Question 480446
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?
:
The relationship between the width and height should remain the same after the enlargement:
:
Let w = the enlarged width
then
{{{4/3}}}w = the enlarged height
:
w*{{{4/3}}}w = 192
:
{{{4/3}}}w^2 = 192
4w^2 = 3(192
4w^2 = 576
w^2 = {{{576/4}}}
w^2 = 144
w = {{{sqrt(144)}}}
w = 12 in is the width
then
{{{4/3}}}*12 = 16 in is the height