A rectangle is 3 inches wide and 4 inches tall, the scale is 1:30. what is the area of square feet in the room

29.999 sq. feet or 30 sq. feet

Step-by-step explanation:

The thing to remember here is the

Proceeding with the question

Width of the rectangle=3 inch

Height of the rectangle=4 inch

We know the area (rectangle)= height* width

Area=12 inch ²

We know that scale= sample area/original area

1/30=12/original area of the room

room area= 360 inch ²

Since the final area is needed in sq. feet

We know that 1 inch= 0.08333 feet

Thus 360 inches = 29.999 square feet or 30 square feet (approx.)

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.