Question

A photograph 8 cm by 11 cm will be framed. The combined area of the frame and photograph will be 180 cm^2. Algebraically determine the outside dimensions of the frame.

**I'm very confused about this question given. It's a quadratic border Area/Perimeter question. I'm not sure I am doing this right so I wanted some assistance.

Answer 1

12 cm x 15 cm

Explanation:

if the picture frame thickness is x,

then the frame dimension would be (8+2x) cm by (11+2x) cm

area is (8+2x)(11+2x)=180

solve for x, x= 2, -23/2

x is thickness, so should be >0, so x=2

frame dimension: 12 x 16