How many 1 cm^2 tiles are required to fill the boundary of a rectangle with area 32 cm^2?

32

Step-by-step explanation:

Area of the rectangular tiles = 32cm²

Area of tiles inside the rectangle = 1m²

Number of tiles inside the triangle = area of rectangle/area if the tikes inside the rectangle= 32cm²/1cm² = 32

Hence 32 1cm² tiles can fill the boundary of the rectangle.

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.

but which class are u may know that first