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The length of the rectangular table is 5 inches longer than the width. The perimeter is at least 92 inches.
Which range shows the possible widths of the table?
A. w ≥ 10.50
B. w ≥ 15.50
C. w ≥ 20.50
D. w ≥ 25.50

Respuesta :

wizard123
P = 2L + 2w
L = 5+w
P = 2(5+w) +2w = 10+4w

P > 92
10+4w > 92
4w > 82
w > 20.5
lets x is width
length is 5 inches longer than the width = x+5

2(x+x+5) >= 92
2(2x+5) >= 92
4x+10 >= 92
4x>=92-10
4x>=82
x>=82/4
x>= 20.5

answer
width is greater or equal 20.5
so it's C. w ≥ 20.50

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