Sheila has 3 strips of unfinished molding that she wants to use to frame the two pictures. Each strip is 36 inches long.
Assuming there is no wastage or overlap of molding, what is the minimum length of molding, in inches, Sheela still requires to frame both the pictures? show work in sentences
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She has 3 strips of molding, each 36 inches. So, that's 3*36 or 108 inches.
The smaller rectangle has perimeter 2(32) + 2(25) = 114 inches.
The larger rectangle has only one dimension given.
Assuming (and a big assumption it is) that the rectangles are similar,
the length of the larger rectangle can be found by solving the proportion
37.5/25 = L/32 . L = 48.
The perimeter of the larger rectangle is 2(48) + 2(37.5) = 171.
The sum of the perimeters of the two rectangles is 171 + 114 = 285 inches.
285 - 108 = 177 inches she still needs. (Check my arithmetic)