(05.05)polygon abcd has the following vertices:
a(−5, 4), b(1, 4), c(6, −4), and d(−5, −4)
calculate the area of the polygon.

First of all, let's plot all the points, so we get the first figure below. Since a Polygon is a shape with straight sides and closed, then if we draw lines in order for the shape to be closed, we get the shape as shown in the second figure. This polygon is a trapezoid because at least one pair of opposite sides are parallel. To get the area, we know the formula:

From the second figure, we know:

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!