Find X in Geometric Figure: Area 21 with Side Length 3

Question

Calculate X based on the data in the figure:

S=21S=21S=21333XXX

Video Solution

Solution Steps

00:00 Find X
00:03 Use the formula for calculating the area of a parallelogram (base times height)
00:06 Substitute appropriate values and solve for X
00:09 Isolate X
00:12 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll use the area formula for a parallelogram:

  • Step 1: Identify and assign base and height. Assume XX is the base and the given side (3) is the height.
  • Step 2: Apply the formula S=b×hS = b \times h, where bb is base and hh is height.
  • Step 3: Since S=21S = 21, substitute it into the equation 21=X×321 = X \times 3.
  • Step 4: Solve for XX.

Let's work through these steps:

Step 1: Assume XX is the base, and 3 is the height.

Step 2: Use the formula S=b×h=X×3S = b \times h = X \times 3.

Step 3: Substitute S=21S = 21:

21=X×3 21 = X \times 3

Step 4: Solve for XX:

X=213 X = \frac{21}{3}

Simplifying gives:

X=7 X = 7

Therefore, the solution to the problem is X=7 X = 7 .

Answer

7