Joanne has a walkway that extends from her house’s back door to its side door. The walkway is shaped like the irregular figure with dimensions as shown below. Find the area of Joanne's walkway.

It is 52 ft squared

Step-by-step explanation: just break it up piece by piece the rectangle at the bottom is 3 by 12 and the triangle at the top has a base of 8 and a height of 4

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.

s

step-by-step explanation: