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As you, probably, know, the perimeter is the sum of a rectangle side lengths
Perimeter = L + W + L + W = 2L + 2W.
In this problem, we are given L = W + 25 inches.
Therefore,
Perimeter = 2*(W+25) + 2W = 240 inches.
Simplify and solve for W, which is the width of your Rectangular Persian carpet.
2W + 50 + 2W = 240
4W = 240-50 = 190
W = 190/4 = 47.5 inches.
Thus the width of your Rectangular Persian carpet is 47.5 inches.
Hence, the length of your Rectangular Persian carpet is 25 inches more, 47.5 + 25 = 72.5.
ANSWER. The dimensions of your Rectangular Persian carpet are 72.5 inches (the length) and 47.5 inches (the width).
CHECK: 72.5
47.5
72.5
47.5
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240.0 inches. ! Precisely correct !
Solved.