a rectangular shaped parking lot is to have a perimeter of 670 yards. If the width is to be 114 yards, because of a building code, what would the length need to be?

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

An equation where variables are used to represent known values—function notation true or false

1mile equals approximately 1.6 kilometers. which best approximates the number of miles in 6 kilometers?