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A standard city block in Manhattan is a rectangle measuring 80 m by 270 m. A resident wants to get from one corner of a block to the opposite corner of a block that contains a park. She wonders about the difference between cutting across the diagonal through the park compared to going around the park, along the streets.

How much shorter would her walk be going through the park? Round your answer to the nearest meter.

Respuesta :

mysticchacha

Answer:

68.4 meters shorter

Step-by-step explanation:

ok so you want to compare the distance  80 m + 270 m with the diagonal length.

the diagonal length =  root ( 80^2   +  270^2 )

diagonal length = root(6400 +  72900)

diagonal = root(79300) =281.602 m

so.

350 - 281.602 = 68.397 meters  about  68.4 meters  shorter than walking around

she would walk be going through the park is 68 m

What is Pythagorean theorem?

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides

According to question,

By Pythagorean theorem,

=[tex]\sqrt{80^{2} + 270^{2} }[/tex]

=[tex]\sqrt{6400 + 72900}[/tex]

=[tex]\sqrt{79300}[/tex]

≈ 281.6 ≈ 282 m

80 + 270 = 350 m

350 - 282 = 68 m

Hence ,she would walk be going through the park is 68 m

To learn more about  Pythagorean theorem from here,

https://brainly.in/question/2829237

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