Calculate the Area of an L-Shaped Figure: 14×2 with 3×1 Extension

What is the area of the shape below?

141414222111333

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of the shape
00:03 Draw a parallel line to create 2 rectangles
00:06 Apply the formula to calculate the rectangle's area
00:09 Side(2) multiplied by side(4)
00:12 This is the area of rectangle 1
00:15 Apply the same formula to calculate rectangle 2's area
00:19 Side(1) x side(3)
00:22 This is the area of rectangle 2
00:25 Add up the areas to determine the total area of the shape
00:31 This is the solution

Step-by-step written solution

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1

Understand the problem

What is the area of the shape below?

141414222111333

2

Step-by-step solution

First, let's draw an imaginary line so that we get a shape containing one large rectangle and one small rectangle.

Then we can calculate the area of the large rectangle:

14×2=28 14\times2=28

Next we will calculate the area of the small rectangle:

1×3=3 1\times3=3

Finally, we combine the two areas to get the answer:
28+3=31 28+3=31

3

Final Answer

31 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?
666444AAABBBCCCDDD

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