Calculate Rectangle Perimeter: Three Interior Rectangles with 5, 6, and 7 Unit Measurements

Rectangle ABCD contains three other rectangles.

Calculate the perimeter of ABCD.

AAABBBCCCDDDGGGHHHEEEFFF675

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the perimeter of rectangle ABCD
00:03 Opposite sides are equal in a rectangle
00:12 The whole side equals the sum of its parts
00:16 Opposite sides are equal in a rectangle
00:33 We don't have enough data to know the entire sides BC,AD
00:39 Therefore, we cannot determine the rectangle's perimeter
00:43 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Rectangle ABCD contains three other rectangles.

Calculate the perimeter of ABCD.

AAABBBCCCDDDGGGHHHEEEFFF675

2

Step-by-step solution

Let's look at rectangle EBHF where we are given:

EF=BH=5

FH=EB=6

From this we can calculate AB:

7+6=13

Now we have a pair of sides in rectangle ABCD:

AB=DC=13

We know that EF=BH=AG=5

We therefore do not have enough additional data to calculate the sides AD and BC.

3

Final Answer

Not enough data

Practice Quiz

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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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