Calculate Side Length DC in Parallelogram with Area 88 cm²

Question

The area of parallelogram ABCD is 88 cm².

Calculate the length of side DC.

888AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:00 Find DC
00:03 We'll use the formula for calculating the area of a parallelogram
00:08 side(DC) multiplied by height (AE)
00:17 We'll substitute appropriate values and solve for DC
00:33 And this is the solution to the question

Step-by-Step Solution

To solve for the length of side DC in the parallelogram, follow these steps:

  • Identify the given variables: The area of the parallelogram is 88cm2 88 \, \text{cm}^2 and the height is 8cm 8 \, \text{cm} .
  • Recall the formula for the area of a parallelogram: A=base×height A = \text{base} \times \text{height} .
  • Substitute the given values into the formula: 88=base×8 88 = \text{base} \times 8 .
  • Solve for the base: base=888=11cm \text{base} = \frac{88}{8} = 11 \, \text{cm} .

Therefore, the length of side DC is 11cm 11 \, \text{cm} .

Answer

11 11 cm