SOLUTION: Ms. Theodorou wants to hang a portrait of Mr Fucheck in the hallway.
The length of the picture is (x+2) and the width of the picture is (x+1).
Ms Cavazzi will build a frame out
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-> SOLUTION: Ms. Theodorou wants to hang a portrait of Mr Fucheck in the hallway.
The length of the picture is (x+2) and the width of the picture is (x+1).
Ms Cavazzi will build a frame out
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Question 441579: Ms. Theodorou wants to hang a portrait of Mr Fucheck in the hallway.
The length of the picture is (x+2) and the width of the picture is (x+1).
Ms Cavazzi will build a frame out of wood. The Frame will have a 2 inch border.
The area of that entire Portrait will cover is 272 inches square. Find the dimensions of the picture. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Ms. Theodorou wants to hang a portrait of Mr Fucheck in the hallway.
The length of the picture is (x+2) and the width of the picture is (x+1).
Ms Cavazzi will build a frame out of wood. The Frame will have a 2 inch border.
The area of that entire Portrait will cover is 272 inches square.
Find the dimensions of the picture.
:
A 2" border will add 4" to each picture dimension
therefore
(x+2) + 4 = (x+6); overall length
(x+1) + 4 = (x+5); overall width
:
Entire area
(x+6)*(x+5) = 272
FOIL
x^2 + 6x + 5x + 30 = 272
x^2 + 11x + 30 - 272 = 0
x^2 + 11x - 242 = 0
You can solve this using the quadratic formula: a=1; b=11; c=-242
But it will factor to
(x+22)(x-11) = 0
the positive solution
x = 11
therefore
11 + 2 = 13" is the length of the picture
11 + 1 = 12" is the width
:
:
Check this by finding the overall area with these values
(13+4)*(12+4) = 272
