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Step-by-step explanation:
L = 2W - 8
P = 230 yd
P = 2×(L+W)
230 = 2× (2W - 8 + W)
230 = 2× (3W-8)
230 = 6W-16
6W= 230+16
6W = 246
W = 246/6
W = 41
L = 2(41) -8
= 82-8
= 74
so, the dimensions of the playing field:
the length = 74 yd
the length = 74 ydthe wide = 41 yd