Question

Find the distance of the diagonal and compare it to walking along the streets.

Answer 1

20 yards

Explanation:

If you walked along the streets it would be 30 yards + 40 yards = 70 yards.

However, to calculate the length across the diagonal, we have to use the Pythagorean Theorem,
`a^(2)+b^(2) =c^(2)`, where:
`a, b` are sides, and
`c` is the hypotenuse.

In this case,
`a=30`,
`b=40`, and
`c` is the hypotenuse, which is the length we have to calculate.

So:

`30^(2) + 40^(2) =c^(2)`

`900+1600=c^(2)`

`2500=c^(2)`

`50=c`

Finally, we subtract the 2 lengths,
`70-50=20`, which gives us the difference, which is the amount of yards Carla will save.

Answer 2

Given data:

The given image of the park.

The lenght of the diagonal is,

`\begin{gathered} d^2=40^2+30^2 \\ d^2=1600+900 \\ d^2=2500 \\ d=50\text{ yards} \end{gathered}`

The distance covered w