Calculate Rectangle Area: 8-Unit Width and 2-Unit Height Problem

Look at the rectangle below.

888222AAABBBCCCDDDEEEFFF

What is the area of the rectangle ABCD?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the area of the rectangle ABCD
00:03 Opposite sides are equal in the rectangle
00:09 The line intersects the side according to the given data
00:16 The entire side equals the sum of its parts
00:22 Apply the formula for calculating the area of the rectangle
00:25 Side(AB) multiplied by side(BC)
00:28 Insert the relevant values into the formula and solve to find the area
00:31 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the rectangle below.

888222AAABBBCCCDDDEEEFFF

What is the area of the rectangle ABCD?

2

Step-by-step solution

Given that in a rectangle every pair of opposite sides are equal, we can claim that:

AB=DC=8 AB=DC=8

and also:

BE=EC=2 BE=EC=2

In other words, BC equals 4

Now we can find the area of the rectangle by multiplying the length by the width:

AB×BC=8×4=32 AB\times BC=8\times4=32

3

Final Answer

32 cm²

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?
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