A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o

Mathematics

1 answer:

DochEvi [55]4 years ago

5 0

The length of side walk is 500 feet

Solution:

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

The diagonal of rectangle is given by formula:

$d = \sqrt{w^2+l^2}$

Where,

d is the length of diagonal

w is the width and l is the length of rectangle

Substituting the values in formula, we get

$d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500$

Thus length of side walk is 500 feet

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