How to Find the Perimeter of a Composite Shape Made of Rectangles ... - Free Printable

Looking at the image, I see an L-shaped figure with several dimensions labeled:
- The total bottom length is 25 cm.
- The total right-side height is 18 cm.
- The bottom horizontal segment has a height of 5 cm.
- The top horizontal segment has a length of 19 cm.
- The vertical segment on the right side has a length of 13 cm.

The task is likely to find the area or perimeter of this L-shaped figure. Since no specific question is stated, I'll calculate both the area and the perimeter as these are common problems for such shapes.

First, let me calculate the area. I can divide the L-shape into two rectangles:
1. A bottom rectangle with width 25 cm and height 5 cm.
2. A right-side rectangle with width (25 - 19) = 6 cm and height (18 - 5) = 13 cm.

Area of bottom rectangle: 25 cm × 5 cm = 125 cm²
Area of right-side rectangle: 6 cm × 13 cm = 78 cm²
Total area = 125 cm² + 78 cm² = 203 cm²

Now, let me calculate the perimeter. The perimeter is the sum of all outer edges:
- Bottom edge: 25 cm
- Right edge: 18 cm
- Top edge: 19 cm
- Left edge: 5 cm
- The vertical segment between the two parts: 13 cm
- The horizontal segment between the two parts: (25 - 19) = 6 cm

Wait, I need to be careful here. The perimeter should only include the outer boundary. Let me trace it:
- Start from bottom left, go right: 25 cm
- Go up the right side: 18 cm
- Go left along the top: 19 cm
- Go down the inner vertical part: 13 cm
- Go left along the inner horizontal part: (25 - 19) = 6 cm
- Go down the left side: 5 cm

Actually, that's not correct for the perimeter. The perimeter should be the outer boundary only. Let me reconsider:

The outer boundary consists of:
- Bottom: 25 cm
- Right side: 18 cm
- Top: 19 cm
- Left side: 5 cm
- The vertical segment connecting the top and bottom parts: (18 - 5) = 13 cm
- The horizontal segment connecting the left and right parts: (25 - 19) = 6 cm

But again, I'm double-counting. Let me think differently. The perimeter is the total length around the outside of the shape. If I trace the outer edge:
- From bottom left to bottom right: 25 cm
- From bottom right to top right: 18 cm
- From top right to top left: 19 cm
- From top left to bottom left: 5 cm

That gives me 25 + 18 + 19 + 5 = 67 cm. But that's not right because I'm missing the inner corners.

Actually, the correct way to calculate the perimeter is to add all the outer edges:
- Bottom: 25 cm
- Right side: 18 cm
- Top: 19 cm
- Left side: 5 cm
- The vertical segment between the top and bottom parts: 13 cm
- The horizontal segment between the left and right parts: 6 cm

Wait, I'm still confused. Let me use a different approach. The perimeter is the sum of all the sides that form the boundary of the shape. If I trace the entire outer edge without lifting my pen, I get:
- Start at bottom left, go right: 25 cm
- Go up: 18 cm
- Go left: 19 cm
- Go down: 13 cm
- Go left: 6 cm
- Go down: 5 cm

That gives me 25 + 18 + 19 + 13 + 6 + 5 = 86 cm.

I think I have it now. The perimeter is 86 cm and the area is 203 cm².

Let me double-check the area calculation:
- Bottom rectangle: 25 cm × 5 cm = 125 cm²
- Right-side rectangle: 6 cm × 13 cm = 78 cm²
- Total area: 125 + 78 = 203 cm²

And for the perimeter:
- Bottom: 25 cm
- Right side: 18 cm
- Top: 19 cm
- Left side: 5 cm
- Inner vertical: 13 cm
- Inner horizontal: 6 cm

Wait, I think I'm overcomplicating this. The perimeter should be the sum of all the outer edges. If I look at the shape, the outer perimeter is:
- Bottom: 25 cm
- Right side: 18 cm
- Top: 19 cm
- Left side: 5 cm

But that's not correct because the shape has an indentation. The correct perimeter is the sum of all the sides that form the boundary, which includes the inner edges as well. So the perimeter is:
- Bottom: 25 cm
- Right side: 18 cm
- Top: 19 cm
- Left side: 5 cm
- The vertical segment between the top and bottom parts: 13 cm
- The horizontal segment between the left and right parts: 6 cm

That gives me 25 + 18 + 19 + 5 + 13 + 6 = 86 cm.

I think I have it right now. The area is 203 cm² and the perimeter is 86 cm.

Let me verify the area calculation one more time. I can also calculate the area by subtracting the missing rectangle from a larger rectangle. The larger rectangle would be 25 cm × 18 cm = 450 cm². The missing rectangle is (25 - 19) cm × (18 - 5) cm = 6 cm × 13 cm = 78 cm². So the area of the L-shape is 450 - 78 = 372 cm². That's different from my previous calculation.

I made a mistake. The correct way to calculate the area is to divide the L-shape into two rectangles:
1. A bottom rectangle with width 25 cm and height 5 cm: 25 × 5 = 125 cm²
2. A right-side rectangle with width (25 - 19) = 6 cm and height (18 - 5) = 13 cm: 6 × 13 = 78 cm²
Total area = 125 + 78 = 203 cm²

Alternatively, I can calculate it as:
- A left rectangle with width 19 cm and height 5 cm: 19 × 5 = 95 cm²
- A right rectangle with width 6 cm and height 18 cm: 6 × 18 = 108 cm²
Total area = 95 + 108 = 203 cm²

So the area is indeed 203 cm².

For the perimeter, if I trace the outer boundary:
- Start at bottom left, go right: 25 cm
- Go up: 18 cm
- Go left: 19 cm
- Go down: 13 cm
- Go left: 6 cm
- Go down: 5 cm

That gives me 25 + 18 + 19 + 13 + 6 + 5 = 86 cm.

Therefore, the area is 203 cm² and the perimeter is 86 cm.

I think I have the correct answer now. The area of the L-shaped figure is 203 square centimeters, and the perimeter is 86 centimeters.