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Elanso [62]
3 years ago
14

The total amount of fence around a rectangular play area must be at least 90 feet, but no more than 120 feet. If the length of t

he play area is twice as long as the width, find the possible widths of the play area.
11 ≤ w ≤ 15
15 ≤ w ≤ 20
21 ≤ w ≤ 30
Mathematics
1 answer:
sergejj [24]3 years ago
6 0
The perimeter of a triangle has the formula 2l + 2w. Since the length is twice as long as the width, l = 2w. We use this equations to two possible perimeters, 90 and 120 feet.

P = 90 feet
90 = 2(2w) + 2w
90 = 6w
w = 15  feet

P = 120 feet
120 = 2(2w) + 2w
120 = 6w
w = 20

Thus, the range of w is from 15 to 20 feet. The answer is <span>15 ≤ w ≤ 20</span>
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