The perimeter of a rectangular sports court is 134 feet. After a game, a player's coach estimates that the athlete has run a total of 378 feet, which is equivalent to four times the court's length plus nine times its width. What are the dimensions of the sports court?

Question

Mathematics

Marely Curry

1 May, 18:27

The perimeter of a rectangular sports court is 134 feet. After a game, a player's coach estimates that the athlete has run a total of 378 feet, which is equivalent to four times the court's length plus nine times its width. What are the dimensions of the sports court?

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Answers (1)

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Ruth Jimenez · Answer 1

45ft by 22ft

Step-by-step explanation:

perimeter is 2L+2W = 134ft

The coach says that 378=4L+9W

We can rearrange the first equation to get L=67-W, then solve by substitution.

378=4 (67-W) + 9W=268+5W

110=5W so W=22

L=67-W and W=22 so

L=67-22=44

Therefore the dimensions are 22 by 45