You’re working in the product development department of a large toy manufacturer. The two grids you’re working with will be laser cut and inserted into an interactive shapes game for toddlers. The dots on the grid are 1 inch apart. Two grids. The first grid consists of the following shapes: A rectangle with a length of 1 and a height of 4. A square with a length of 3. A square with a length of 1. 2 triangles with a base of 1 and a height of 1. The second shape consists of the following shapes: A triangle with a base of 4 and a height of 3. A square with a length of 3. Q. Find the total area for the two shapes in order to determine how much raw material will be cut away from the surface. Type the correct answer in the box. sq in

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: the center is the median and/or mean of the data. the spread is the range of the data. and, the shape describes the type of graph. the four ways to describe shape are whether it is symmetric, how many peaks it has, if it is skewed to the left or right, and whether it is uniform. good luck

step-by-step explanation: