Question
Part 2 of 2 The length of a new rectangular playing field is 6 yards longer than triple the width. If the perimeter of the rectangular playing field is 380 yards, what are its dimensions? The width is 46 yards. The length is \( \square \) yards.
Ask by Wheeler Herrera. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The length of the rectangular playing field is 144 yards.
Solution
We are given:
• The width (w) is 46 yards.
• The length (l) is 6 yards longer than triple the width, so l = 3w + 6.
Substituting the given width:
l = 3(46) + 6 = 138 + 6 = 144 yards.
Therefore, the length of the rectangular playing field is 144 yards.
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Simplify this solution Extra Insights
To find the length of the rectangular playing field, you can use the relationship provided: the length is 6 yards longer than triple the width. Given that the width is 46 yards, you first calculate triple the width: \(3 \times 46 = 138\) yards. Then, you add the extra 6 yards to this amount: \(138 + 6 = 144\) yards. So, the length of the playing field is 144 yards. Now you have the dimensions of the field: a width of 46 yards and a length of 144 yards! It's a big space for games and activities!
