Rectangle Perimeter Calculation: Finding the Distance Around a 66-Square-Unit Rectangle

Question

The area of the rectangle below is equal to 66.

Calculate the perimeter of the rectangle.

666666111111666AAABBBDDDCCC

Video Solution

Solution Steps

00:00 Find the perimeter of the rectangle
00:03 The perimeter of the rectangle equals the sum of its sides
00:10 Opposite sides are equal in a rectangle
00:16 Let's substitute appropriate values according to the given data and solve for the perimeter
00:22 And this is the solution to the problem

Step-by-Step Solution

Since in a rectangle every pair of opposite sides are equal to each other, we can claim that:

AB=CD=11 \text{AB=CD}=11

AC=BD=6 AC=BD=6

Now let's calculate the perimeter by adding all the sides together:

6+11+6+11=12+22=34 6+11+6+11=12+22=34

Answer

34