A national hockey league rink is 115 feet longer than it is wide. If the perimeter of the rink is 570 feet, find the dimensions

Question

3 years ago

12

of the rink

1 answer:

ivolga24 [154] · Answer 1 · 2022-09-04T22:20:49+03:00

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Step-by-step explanation:

Given,

Perimeter of hockey rink = 570 feet

Width of hockey rink = w

Length of hockey rink = w+115

As a hockey rink is in rectangular shape;

Perimeter of rink = 2(Length + Width)

$570=2(w+115+w)\\570=2(2w+115)\\570=4w+230\\570-230=4w\\340=4w\\4w=340$

Dividing both sides by 4

$\frac{4w}{4}=\frac{340}{4}\\w=85$

Width of hockey rink = 85 feet

Length of hockey rink = 85+115 = 200 feet

The length of hockey rink is 200 feet and width of hockey rink is 85 feet.

Keywords: rectangle, division

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