High School

To accommodate the largest jets, an international airport runway is 1500 m more than 50 times its width. If the perimeter of the runway is 11,160 m, determine the length and width of the runway in meters.

Answer :

Final answer:

We can determine the length and width of the runway by solving a mathematical equation based on the given information.

Explanation:

In this question, we are given the perimeter of an international airport runway, which is 11,160 m. Let's assume the width of the runway is 'w' meters. According to the given information, the length of the runway is 1500 m more than 50 times its width. So, we can write the equation as:

2(length + width) = perimeter

Substituting the values, we get:

2((50w + 1500) + w) = 11,160

Simplifying the equation, we find that the width of the runway is 60 meters. Therefore, the length of the runway is 50w + 1500 = 50(60) + 1500 = 3000 + 1500 = 4500 meters.