Rectangle Perimeter Calculation: Area = 24, Find the Distance Around

Question

The area of the rectangle below is equal to 24.

Calculate the perimeter of the rectangle.

242424666444AAABBBDDDCCC

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
00:17 Let's substitute appropriate values according to the given data and solve for the perimeter
00:20 And this is the solution to the problem

Step-by-Step Solution

Given that in a rectangle all pairs of opposite sides are equal to each other, it can be argued that:

AB=CD=6 AB=CD=6

AC=BD=4 AC=BD=4

Now calculate the perimeter of the rectangle by adding all the sides:

4+4+6+6= 4+4+6+6=

8+12=20 8+12=20

In other words, the data of the rectangle's area is unnecessary, since we already have all the data to calculate the perimeter, and we do not need to calculate the other sides.

Answer

20