Parallelogram Side Length: Finding AB When 3X=6 and Perimeter=40cm

Given the parallelogram ABCD whose perimeter is equal to 40 cm, it is also known that X=2

According to the data in the drawing, find a AB

Video Solution

Solution Steps

00:00 Find AB

00:04 The perimeter of the parallelogram equals the sum of the sides

00:07 Opposite sides are equal in a parallelogram, so multiply each side

00:12 Substitute appropriate values according to the given data, and solve for AB

00:26 Substitute the value of X

00:32 Isolate AB

00:40 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's follow these steps:

Step 1: Calculate the length of $CD$ .

Given $X = 2$ , we find $CD = 3X = 3 \times 2 = 6$ cm.

Step 2: Use the formula for the perimeter of a parallelogram:
$P = 2 \times (AB + CD)$ .

Substitute the given values:
$40 = 2 \times (AB + 6)$ .

Step 3: Solve for $AB$ .

Start by dividing the entire equation by 2:
$20 = AB + 6$ .

Subtract 6 from both sides to isolate $AB$ :
$AB = 20 - 6 = 14$ .

Therefore, the length of side $AB$ is $14$ cm.