Rectangle Perimeter Problem: Finding the Distance Around a 21-Square-Unit Shape

Question

If the area of the rectangle is 21.

Determine the perimeter of the rectangle.

212121777333AAABBBDDDCCC

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
00:15 Let's substitute appropriate values according to the given data and solve for the perimeter
00:21 And this is the solution to the question

Step-by-Step Solution

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

AB=CD=7 AB=CD=7

AC=BD=3 AC=BD=3

Now let's add all the sides together to calculate the perimeter:

3+7+3+7=6+14=20 3+7+3+7=6+14=20

Answer

20