Calculate Rectangle Perimeter: Finding Total Length with AB=5, CD=7

Question

AB = 5

CD = 7

AC = 4

BD = 4

Calculate the perimeter of the rectangle.

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Video Solution

Solution Steps

00:00 Find the perimeter of the trapezoid
00:03 The perimeter of the trapezoid equals the sum of its sides
00:11 Let's substitute appropriate values according to the given data and solve for the perimeter
00:25 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given measurements for the sides.

  • Step 2: Use the perimeter formula for a trapezoid, which is summing all sides.

  • Step 3: Add the values to get the perimeter.

Now, let's work through each step:

Step 1: The problem gives us four sides to consider. These sides are: AB=5 AB = 5 , CD=7 CD = 7 , AC=4 AC = 4 , and BD=4 BD = 4 .

Step 2: The perimeter of a trapezoid or any quadrilateral is simply the sum of all four sides. Hence, we need to add AB AB , CD CD , AC AC , and BD BD .

Step 3: Adding the values, we calculate the perimeter:AB+CD+AC+BD=5+7+4+4=20 AB + CD + AC + BD = 5 + 7 + 4 + 4 = 20 .

Therefore, the perimeter of the given shape is 20 20 .

Answer

20