A park is shaped like a rectangle with a length 11 times its width w. what is a simplified expression for the distance between opposite corners of the park?

Question

Mathematics

Anastasia Santiago

26 August, 20:03

A park is shaped like a rectangle with a length 11 times its width w. what is a simplified expression for the distance between opposite corners of the park?

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Answers (2)

Know the Answer?

Kylee Fischer · Answer 1

Phytagoras:

AB² = 11² + w²

AB = √121+w²

Kian Le · Answer 2

Width = w

length = 11w

Pythagoras theorem

a^2 + b^2 = c^2

Let's say the width is a, the length is b, and the distance between corners (call it d) is c

w^2 + 11w^2 = d^2

Collect like terms,

12w^2 = d^2

Simply

12w = d