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How do I solve this Algebra problem?
Here is the problem: You want to mat and frame a 5x7 photograph. The perimeter if the outside of the mat is 44 inches. The mat is twice as wide at the top as it is at the sides. Find the dimensions of the mat. (The mat goes outside the frame,almost like a second frame.)
1 Answer
- ?Lv 410 years agoFavorite Answer
Let the Outer Length and Breadth be L, B
(L+B)*2 = Perimeter = 44 => L+B = 22
Inside Dimensions would be L-3T, B-2T where T is the thickness at the sides of the Mat
Inside Perimeter = (5+7)*2 = 24
24 = (L-3T+B-2T)*2 => L+B-5T = 12
=> 5T = 10 => T = 2
L-3T =7 => L = 13, B-2T = 5 => B = 9
Dimensions of the Mat
Outer Length, Breadth = 13, 9
Inner Length, Breadth = 7, 5
Thickness at Sides, Top = 2, 4