Arectangular piece of land whose length is twice its width has a diagonal distance of 90 yards. how many yards, to the nearest tenth of a yard, does a person save by walking diagonally across the land instead of walking its length and its width?

A person saves 30.7 yards

Step-by-step explanation:

the path a person walks diagonally creates a right triangle with the lenght and the width of the rectangular piece of land. The diagonal is 90 yards which becomes the hypotenuse.

let w be the width, then l becomes the length, which is twice the width. Therefore, leg l=2a and leg w=a.

By the Pythagorean Theorem:

Replacing the values:

But that a is the value for the width, if a person walks the width and the length, it becomes:

the length plus the width=2a+a=3a.

So:

Now, the difference between walking across the land and surrounding it, is:

We can conclude, a person saves 30.7 yards if walking across the land.

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97

answer: 298143

step-by-step explanation: