Ialso need the work along with the answer. suppose that in a rectangular parking lot, if one goes from corner to corner, the distance is 37 yards. the length of the parking lot is 1 yard less than 3 times the width. if a fence is to be built around the lot, how many feet long should the fence be?

1. You have that the diagonal of the rectangle that goes from corner to corner, divides the rectangle into two equal right triangles. Therefore, you can apply the Pythagorean Theorem to solve the problem, as following:

 Where  is the diagonal,  is the width and  is the length.

 2. You have that the length is:

 3. The diagonal is:

 3. Substitute them into the equation and solve for the width:

 3. Therefore, the length is:

 4. The perimeter is:

 The answer is: 

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

step-by-step explanation: