Sam's plasma TV has a 14 in by 18 in screen with a plastic trim border. The total area of the TV and border is 480 in2. How wide is the trim around the TV?

Question

anonymous · Answer

attachment

dumbcow · Answer

first subtract the areas
480 - 14*18 = 228
Let x be width of trim
trim can be divided into 4 rectangles plus the 4 square corners
corner area = x^2
2 rectangles = 14x
2 rectangles = 18x

-> 4x^2 +28x +36x = 228
4x^2 +64x-228 = 0
x^2 +16x - 57 = 0
(x+19)(x-3) = 0    **x must be positive**

x = 3

dumbcow · Answer

make sense ?

anonymous · Answer

Shouldn't it be more since it's all around the T.V?

dumbcow · Answer

you are thinking length...it just wants how wide the trim is
so its 3in. from edge of screen to edge of TV

dumbcow · Answer

the length or perimeter of the trim would be 18+18+14+14+3+3+3+3 = 76 in