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The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.

2 Answers

3 votes

Explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

User Jake McGraw
by
4.2k points
5 votes

Explanation:

lenght = x + 8

width = x


perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = (80)/(4) \\ x = 20

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

User Miles Wilson
by
4.1k points