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.
:
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

a