A rectangular tennis court is 78 ft long and 36 ft wide and is surrounded by auniform pathway. If the total area of the tennis court along with the pathway measures 3280 ft, find the width of the pathway.
+2878
A rectangular tennis court is 78 ft long and 36 ft wide and is surrounded by auniform pathway.
If the total area of the tennis court along with the pathway measures 3280 ft, find the width of the pathway.
Area of pathway equals (2 • 78 • W) + (2 • 36 • W) + (4W2 ) The 4W2 are the four corners.
Area of pathway equals 3280 – (78)(36) = 3280 – 2808 = 472
156W + 72W + 4W2 = 472
4W2 + 228W – 472 = 0
W2 + 57W – 118 = 0
(W + 59)(W – 2) = 0
W = –59 discard
W = 2
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