What is the perimeter of a parallelogram, if its area is 72 cm2 and the distances between the point of intersection of the diagonals and the sides are 3 cm and 4 cm?

42 cm.

Step-by-step explanation:m

Given: The area of a parallelogram is 72 cm².

The distances between the point of intersection of the diagonals and the sides are 3 cm and 4 cm.

We know that the area of a parallelogram is given by :-

....................................................................(1), where b is the base and h is the corresponding height.

Since, the distance between point of intersection of the diagonals and the opposite sides are same.

Therefore,

Now, putting the value of in (1). we get

⇒ The measure of one side =12 cm.

Now, putting the value of in (1). we get

⇒ The measure of second side = 9 cm.

Now,The perimeter of a parallelogram is given by :-

Hence, the perimeter of a parallelogram = 42 cm.

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the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)