The width of the inside of a picture frame needs to be at le

The width of the inside of a picture frame needs to be at least twice as large as the height of the picture frame. The area of the image being framed is 2048 in². What is the minimum width of the inside of this picture frame?

A) 90.6 in.

B) 32 in.

C) 45.3 in.

D) 64 in.

Solution

Minimum possible width will be when,

if height = h

then width = 2h

In that case area of frame = height*width

Area = h*w

2048 in^2 = h*2h

2h^2 = 2048

h^2 = 1024

h = sqrt (1024)

h = +/- 32

Since width cannot be negative, so minimum possible width = 32 in.