I dont get these problems?

Question

Assume you have a piece of property that is 3/8 mile by 1/4 mile. How far is it diagonally (corner to corner) across the property in yards?

Answer 1

recatangle=660*440 yard
diagonal=rt(660^2+440^2)
=rt435600+193600
=793.2 yard

Answer 2

Assuming the plot of land is a rectqangle, to find the diagonal (the hypotenuse of a right triangle) use the Pythagorean Theorem.
a^2+b^2=c^2
3/8*3/8+1/4*1/4=c^2
9/64+1/16=c^2
9/64+4/64=c^2
13/64=c^2
c= 1/8(13)^1/2
c=.4507miles
multiply by 1760 because there are 1760 yards in a mile
793.22yards

Answer 3

Ok, here goes...
3/8 of a mile is 660 yards across (3/8*1760, there are 1760 yards in a mile)
1/4 of a mile is 440 yards across (same process as above)

Now set up an equation using the Pythagorean theorem using 660 and 440 as the legs of the right triangle and the diagonal distance is what you are solving for.

660^2 + 440^2 = d^2

Now you get the fun of solving for d.

Hope this helps. Good Luck.

Answer 4

1 mile = 5280ft
3/8 mile = 3/8(5280) = 1980ft = 660 yards
1/4 mile = 1/4(5280) = 1320ft = 440 yards
Using the Pythagoras theorem to find the diagonal
660^2 + 440^2 = (Diagonal)^2
629200 = (Diagonal)^2
Taking sqrt, we get
Diagonal = 793.2 yards

* To convert feet into yards divide by 3

Answer 5

use pythagoras a^2 + b^2 = c^2

3/8 ^ 2 + 1/4 ^ 2 = c^2
9/64 + 1/16 = c^2
13/64 = c^2
Answer is the square root of 13/64 (sorry, not got a calculator on me lol)

n.b) wen i put c^2 it means c is squared

Answer 6

The answer you're looking for is: 793.2212806 yards.

That only works if the property is perfectly rectangular. (90° angles at all the corners) In real life, this rarely occurs.

Answer 7

9/20 mile