The length of a new rectangular playing field is 4 yards longer than quadruple the width. If the perimeter of the rectangular pl
aying field is 488 yards, what are its dimensions?
1 answer:
Answer:
w = 48
w = 196
Step-by-step explanation:
Width = w
Length = l = 4 + 4w
Use the values for length and width above along with the given value for perimeter in the formula for perimeter.
P = 2l + 2w
488 = 2(4 + 4w) + 2w
488 = 8 + 8w + 2w
488 = 8 + 10w
488 - 8 = (8 + 10w) - 8
480 = 10w
(480)/10 = (10w)/10
48 = w
w = 48
The width is 48 yards. Use this value to solve for length.
l = 4 + 4w
l = 4 + 4(48)
l = 4 + 192
l = 196
The length is 196 yards.
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