SOLUTION: Grant Wood painted his most famous work, American Gothic, in 1930 on compositition board with perimeter 108,44 in. If the painting is 5.54 in. taller than it is wide, find the dime

Question 96916This question is from textbook Intermediate Algebra
: Grant Wood painted his most famous work, American Gothic, in 1930 on compositition board with perimeter 108,44 in. If the painting is 5.54 in. taller than it is wide, find the dimensions of the painting. This question is from textbook Intermediate Algebra

Found 2 solutions by coyote, anjali_yamini:
Answer by coyote(32) (Show Source): You can put this solution on YOUR website!
This answer assumes you meant a perimeter of 108.44 inches.
To determine perimeter, p = 2w + 2l
So 108.44 = 2w + 2(w + 5.54)
108.44 = 2w + 2w + 11.08
108.44 = 4w + 11.08
97.36 = 4w
24.34 = w
So the bottom and top length are 24.34 inches eachand
the two sides (height) are 24.34 + 5.54 = 29.88 inches each.
To check:
Add 24.34 + 24.34 + 29.88 + 29.88 = 108.44
Answer by anjali_yamini(27) (Show Source): You can put this solution on YOUR website!
LET:
HEIGHT OF PAINTING = H
WIDTH OF PAINTING = W
H= 5.54+ W
AND 2(H + W) = 10844
SO, 2( W + 5.54 +W )= 10844
2(2W+ 5.54) = 10844
4W + 11.08 = 10844

4W = 10844 - 11.08
4W = 10832.92
W = 10832.92 / 4
W = 2708.23
SO, H = 2708.23 + 5.54
= 2713.77
SO, THE DIMENSIONS OF THE PAINTNG ARE :2708.23 IN * 2713.77 IN
CHECK :
2708.23 * 2 = 5416.46
2713.77 * 2 = 5427.54
5427.54 + 5416.46 = 10844
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