Finding Common Denominator: Multiply both of the denominators, then what ever you multiplied the bottom number by you multiple the numerator with the same number.
Answer:
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 <em><u>w</u></em> be the width, then <em><u>l</u></em> becomes the length, which is twice the width. Therefore, leg <em><u>l=2</u></em><u>a</u> and leg <u><em>w=</em></u><u>a</u>.
By the Pythagorean Theorem:
Replacing the values:
But that <u>a</u> 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.
Answer:
Width= 85
Length= 485
Step-by-step explanation:
The width will be x, and the length will be x + 400, since it is 400 more than the width.
We know that the perimeter of a rectangle can be found using the equation 2w + 2l.
We plug in the values we have found.
2(x) + 2(x+400) = 1140
4x + 800 = 1140
4x = 340
x = 85
Now we know the width, since it is simply x. To find length all we have to do is add 400.
400 + 85 = 485