Calculate Rectangle Perimeter: Finding ABCD with Measurements 8, 5, and 3

ABCD and EBFC are rectangles.

Calculate the perimeter of rectangle ABCD.

AAABBBCCCDDDEEEFFF538

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Step-by-step video solution

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00:00 Find the perimeter of rectangle ABCD
00:03 Opposite sides are equal in a rectangle
00:25 The whole side equals the sum of its parts
00:36 Opposite sides are equal in a rectangle
00:46 The perimeter of the rectangle equals the sum of its sides
01:01 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

ABCD and EBFC are rectangles.

Calculate the perimeter of rectangle ABCD.

AAABBBCCCDDDEEEFFF538

2

Step-by-step solution

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

EF=BC=AD=5 EF=BC=AD=5

FC=EB=3 FC=EB=3

Now we can calculate side AB:

8+3=11 8+3=11

Since AB and CD are equal to each other, side CD is also equal to 11

Let's calculate the perimeter of the rectangle:

11+5+11+5=22+10=32 11+5+11+5=22+10=32

3

Final Answer

32

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle below.

Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.

What is the perimeter of the rectangle?

1.51.51.5AAABBBCCCDDD9.5

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