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

Question

What is the area of the shape below?

141414222111333

Video Solution

Solution Steps

00:00 Calculate the area of the shape
00:03 Draw a parallel line to create 2 rectangles
00:06 Now we'll use 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 We'll use the same formula to calculate rectangle 2's area
00:19 Side(1) multiplied by side(3)
00:22 This is the area of rectangle 2
00:25 Now we'll sum the areas to find the total shape area
00:31 And this is the solution to the question

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

Answer

31 cm²