Question

2. If the perimeter of the parallelogram is 100, find the lengths of the sides. X x +4 14 and 12 18 and 15 24 and 32 22 and 28 2x - 8 W Y All changes saved Z​

Answer 1

Let's denote the sides of the parallelogram as follows:

- One pair of opposite sides as "x + 4" and "x" (since opposite sides of a parallelogram are equal in length).

- The other pair of opposite sides as "14" and "12."

The perimeter of a parallelogram is the sum of all its sides. So, we can set up an equation to solve for the value of "x":

Perimeter = 2 * (sum of adjacent sides)

100 = 2 * [(x + 4 + x) + (14 + 12)]

Now, simplify and solve for "x":

100 = 2 * (2x + 26)

Divide both sides by 2:

50 = 2x + 26

Subtract 26 from both sides:

24 = 2x

Now, divide by 2 to find the value of "x":

x = 12

So, the lengths of the sides of the parallelogram are:

- The two adjacent sides are x + 4 = 12 + 4 = 16 units.

- The other two adjacent sides are 14 units and 12 units.

Therefore, the sides are 16, 16, 14, and 12 units long.