Idon’t understand this question

the area of a parallelogram is 240. if the base is reduced to one-fourth its original length and it’s height is doubled, what is the new area?

a. 30
b. 60
c. 120
d. 240

120 units² (Answer C)

Step-by-step explanation:

The area of a parallelogram of base b and height h is A = bh, and here

A = bh = 240 units².

Doubling the height would give us a new height of 2h, and taking a quarter of the original base (length) would give us a new base (length) of b/4.

                                                                    240 units²

Solving A = bh = 240 units² for h yields

                                                                           b

and then substituting this result for h in the new equation

A = (2h) · (b/4) yields:

            240 units²                     2 · (240 units²)

     (2 · ) · (b/4), or = 120 units² (Answer C)

                    b                                       4

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.