A park is in the shape of a rectangle that is 8 miles long and 6 miles wide. How much shorter is your walk if you walk diagonally across the park instead of along two sides of it?

T hi s rec t an g l e co n s i s t o f tw o r i g h t t r ian g l es : s i d es : 6 , 8 , c \2 c 2 = 6 2 + 8 2 c 2 = 36 + 64 c 2 = 100 c = 10 6 + 8 = 14 14 − 10 = 4 R o a d a cross t h e p a r k i s 4 mi l es s h or t er .

Answered by luana | 2024-06-10

The **walk **is **4 miles shorter **if you walk **diagonally **across the park than along **two sides **of it.
Given information:
A **park **is in the shape of a **rectangle 8 miles **long and **6 miles **wide.
If you walk along the **two sides **of the rectangular park , then the **distance **covered will be,
8 + 6 = 14 miles
Now, the **length **of **diagonal **of the park will be,
d 2 = 8 2 + 6 2 d 2 = 64 + 36 d 2 = 100 d = 10
So, the **distance **covered while moving along the **diagonal **will be 10 miles .
Now, the **difference **of **distance **covered in the two ways will be,
14 − 10 = 4 miles
Therefore, the walk is **4 miles shorter **if you walk **diagonally **across the park than along **two sides **of it.
For more details, refer to the link:
https://brainly.com/question/10046743

Answered by aksnkj | 2024-06-25

Walking diagonally across the park is 4 miles shorter than walking along the two sides. The total distance along two sides is 14 miles, while the diagonal distance is 10 miles. Using the Pythagorean theorem, we found the diagonal distance by calculating 8 2 + 6 2 = 10 .
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Answered by aksnkj | 2024-10-30