Question 373080: A square photo graph of unknown dimensions (X by X) is to be place on a rectangular background that is 6 inches longer than the photo and 3 inches wider than the photo.
You must first determine how to now represent the length and width of the rectangular background.
If the area of the rectangular background is to be 340 sq. inches write an equation using A = l x w and solve the equation and tell the dimensions (X by X) of the original photograph.
accurately determine an equation using A = l x w and solve the equation then, tell the dimensions (X by X) of the original photograph
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A square photo graph of unknown dimensions (X by X) is to be place on a
rectangular background that is 6 inches longer than the photo and 3 inches wider than the photo.
You must first determine how to now represent the length and width of the rectangular background.
:
From the given information, we can say the background dimensions are:
(x+6) by (x+3)
If the area of the rectangular background is to be 340 sq. inches write an
equation using A = l x w and solve the equation and tell the dimensions
(X by X) of the original photograph.
:
(x+6)(x+3) = 340
FOIL
x^2 + 3x + 6x + 18 = 340
x^2 + 9x + 18 - 340 = 0
x^2 + 9x - 322 = 0
Factors to
(x+23)(x-14 = 0
The positive solution
x = 14 inches, the side of the square photograph
:
:
Check solution by finding the area of the background
(14+6) * (14+3) = 340
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