Math
posted by Coug .
A photo width is 2 in. more than it's length. A borderof 1 in is placed around the photo, and the area covered by the photo and it's border is 120 sq. inches. Find the dimensions of the photo itself.

Math 
Emily
It helps to draw out what the photo in the frame will look like, so you'll draw a rectangle with length "L" and width of "L + 2" (because it says the width [think w] is 2 more than the length "L").
Now, it says a border of 1 in. is placed around the photo. When you draw it, you see there is two inches added to both the length and width (one inch on either side). Now, the total width of the photo frame with the photo in it is L + 4, and the total length of it L + 2. The 120 square inches applies to the surface area of the photo AND frame, and the formula for surface area is A = LW. Soooo:
A = LW
120 = (L + 4)(L + 2)
Now solve for L to find your length:
L^2 + 6L + 8 = 120
L^2 + 6L  112 = 0
(L + 14)(L  8) = 0
Because you cannot have negative dimensions, discard the 14 you get. You now know that L = 8, so now with this information go find your width of the ORIGINAL photo, not the frame.
width = L + 2 = 8 + 2 = 10
So, the photo is 8 x 10 inches. Hope I helped! 
Math 
Gabe
thank you i got it right

Math 
Vone
A rectangle picture was reduced in size from 18 inches by 30 to 6 inches by 10 inches. What is the scale factor used to reduce the picture?
Respond to this Question
Similar Questions

alegebra
Mr. Baker wants to enlarge a photo that is 5 by 7 inches so that the dimensions are 3 times larger than the original. How many times larger than the original photo will the area of the new photo be? 
math
a 3'' times 5'' photo is enlarged so that the length of the new photo is 7 inches. what is the width of the new photo? 
math
The area of a rectangular photo is 80 square inches. After reducing its dimensions, the area of the photo is 5 square inches. By how much were the dimensions of the original photo reduced? 
Math
Teresa had a family photo with the dimensions of 12 inches by 16 1/2 inches. What is the area of the photo in square inches? 
Algebra
A photo is printed on a 20inch by 24inch piece of paper. The photo covers 320 square inches and has a uniform border. What is the width of the border? 
math please help asap
a photo is 4 inches wide it is placed inside a frame with a border that is x inches wide the total width of the photo and the frame is 7 inches write an equation to model the situation then solve the equation to find the width of the … 
Math
A photo is 4 inches wide. It is placed inside a frame with a border that is x inches wide. The total width of the photo and the frame is 7 inches. Write an equation to model the situation. Then solve the equation to find the width … 
Math
The area of a rectangular photo is 35 square inches. If the width of the photo is 5 inches, how tall is the photo? 
math
The length by the width of Roxie's photo is 24 cm long and 14 cm wide. In order to make a photo that will fit into a wallet, the photo needs to be reduced to a length of 7 cm. Determine the width of the wallet size photo. 
math 7th grade
The area of the original is 4x that of the reduced photo.The area of the reduced photo is 1/4 that of the original. She sent a 4 cmby6 cm photo to each team member.If the photo were enlarged to 150% of its original size, what would …