You have 24 feet of fencing that you are using to make a rectangular dog pen. You want the dog pen to enclose 150 square feet. Is it possible for the 24 feet of fencing to enclose a rectangular area of 150 square feet? Explain.

Not possible

Step-by-step explanation:

Given that

The area of the pen is 150 ft²

Assuming that the length of the pen is x, then the breadth of the pen will be 24 - x

Area = length * breadth

Area = x (24 - x)

Area = 24x - x²

24x - x² = 150

x² - 24x + 150 = 0

Using general quadratic formula, we have

[-b ± √(b² - 4ac)]/ 2a

Where

a = 1

b = -24

c = 150

On solving the equation, we get a number in the complex form of "i", and not a real number. As such, it's not possible for the 24 feet to enclose the area

answer: b.

step-by-step explanation:

it is b. cause the equations are put in the right category

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.