1 point) The top and bottom margins of a poster are 4 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area.

Respuesta :

Answer: 2cm^2 by 2cm^2

Step-by-step explanation:

The area of the poster is 4cm by 4cm(all sides equal) which is 16cm^2.

If this is fixed at 384cm^2, the length of the 384cm^2 poster will be √384 which is 18cm^2.

Which means that a poster of side 4cm^2 us fixed inside poster with side 18cm^2.

To get the dimension with smallest area, we divide 18cm^2 by 4cm^2 and the remainder will be the smallest dimension i.e 2cm^2 by 2cm^2