Find the area and perimeter

the perimeter is 40.1 feet

The area is 76 ft²

Step-by-step explanation:

The given shape contains a rectangle and a trapezoid.

The perimeter of a shape is the distance around the shape. Therefore, the perimeter of the given shape is

4 + 8 + 4 + 4.5 + 14 + 5.6 = 40.1 ft

The area of the rectangle is

8 × 4 = 32ft²

The formula for determining the area of a trapezoid is

Area = 1/2(a + b)h

Where a and b are the length of the opposite sides.

h represents the vertical height.

Area = 1/2(14 + 8)4

= 1/2 × 22 × 4 = 44ft²

Area of the shape is

32 + 44 = 76 ft²

Perimeter = 40.1 ft.

Area = 76 ft^2.

Step-by-step explanation:

The perimeter is the sum of the exterior sides.

The perimeter = 4 + 8 + 4 + 4.5 + 14 + 5.6

= 40.1.

The area = the area of rectangle + area of the trapezoid

= 8 * 4 + (8 + 14) * 4  / 2

= 32 + 44

= 76.

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.

answer: 12

step-by-step explanation:

because yes