2) The area of Bethany's rectangular yoga mat is 15 square feet. The width of her mat is 3 feet. How many feet long is Bethany's yoga mat? A) 2 feet
B) 6 feet
5 feet
D) 7 feet

5 feet

15 divided by 3 is 5

Area is base x height so 3 x 5 is 15

C-5 feet

Step-by-step explanation:

If the area is 15, and the width is 3, we need to find the length with the info we have. And we know, to find the area, we need to multiply the length and the width. What number times 3 can get us to 15? Let's find out by dividing.

15/3=5

How to check? Use inverse operations:

3*5=15

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

12cm

the answer is d