Calculate Rectangle Perimeter: Area = 78, Dimensions 13 × 6

If the area of a rectangle is 78.

Calculate the perimeter of the rectangle.

787878131313666AAABBBDDDCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the perimeter of the rectangle
00:03 The perimeter of the rectangle equals the sum of its sides
00:09 Opposite sides are equal in a rectangle
00:16 Substitute the relevant values into the formula according to the given data and solve for the perimeter
00:20 This is the solution

Step-by-step written solution

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1

Understand the problem

If the area of a rectangle is 78.

Calculate the perimeter of the rectangle.

787878131313666AAABBBDDDCCC

2

Step-by-step solution

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

AB=CD=13 AB=CD=13

AC=BD=6 AC=BD=6

Now we can calculate the perimeter of the rectangle by adding all the sides together:

6+13+6+13=12+26=38 6+13+6+13=12+26=38

3

Final Answer

38

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

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