Calculate X in Trapezoid: Area 45 with Height 5

Question

Calculate X based on the data from the figure:

S=45S=45S=45XXX555

Video Solution

Solution Steps

00:00 Find X
00:03 Opposite sides are equal in a parallelogram
00:06 Use the formula for calculating parallelogram area (base times height)
00:09 Substitute appropriate values and solve for X
00:12 Isolate X
00:15 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate formula for a parallelogram's area.
  • Step 3: Rearrange and calculate the unknown X X .

Now, let's work through each step:

Step 1: We have that the area S S is 45 45 and the base b b is 5 5 .

Step 2: We use the formula for the area of a parallelogram S=b×h S = b \times h , where in this case, h h is X X . So, we have:

45=5×X 45 = 5 \times X

Step 3: Rearrange the equation to solve for X X :

X=455 X = \frac{45}{5}

X=9 X = 9

Therefore, the length of side X X is 9 9 .

Answer

9