Perimeter of Rectilinear Shapes Sheet 1 Answers - Includes four figures with side lengths and final perimeter calculations.

Let’s solve each problem step by step. We’re finding the perimeter — that means adding up all the outer sides of each shape.

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Problem 1:

Shape is an L-shape with these side lengths (going around):

- Top: 8 cm
- Right: 10 cm
- Bottom right: 5 cm
- Bottom left vertical: 7 cm
- Inner horizontal: 3 cm (red)
- Left top vertical: 3 cm

Wait — let’s trace the full outer edge carefully:

Start at top-left corner, go clockwise:

1. Top → 8 cm
2. Down right side → 10 cm
3. Left along bottom → 5 cm
4. Up inner left → 7 cm
5. Left along inner top → 3 cm (this is the red one)
6. Up to close the shape → 3 cm (leftmost vertical)

But wait — if we add those:
8 + 10 + 5 + 7 + 3 + 3 = 36 cm ✔

That matches the given answer.

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Problem 2:

Another L-shape.

Sides (clockwise from top-left):

1. Top → 12 cm
2. Right down → 7 cm
3. Left inner → 4 cm (red)
4. Down inner → 2 cm (red)
5. Left bottom → 8 cm
6. Up left side → 9 cm

Add them:
12 + 7 + 4 + 2 + 8 + 9 =
12+7=19; 19+4=23; 23+2=25; 25+8=33; 33+9=42 cm ✔

Matches given answer.

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Problem 3:

Units are mm now.

Shape: long rectangle with a notch on the bottom right.

Trace outer edges clockwise from top-left:

1. Top → 60 mm
2. Right down → 15 mm
3. Left inner → 40 mm
4. Down inner → 30 mm
5. Left bottom → 20 mm
6. Up left side → 45 mm (red)

Add:
60 + 15 = 75
75 + 40 = 115
115 + 30 = 145
145 + 20 = 165
165 + 45 = 210 mm ✔

Correct.

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Problem 4:

Mixed units? No — all in meters, but some are fractions.

Given:

Top: 7½ m
Right top down: 4 m
Then right inner: 1½ m
Then down: 2 m
Bottom: 9 m
Left side: 6 m (red)

Wait — let’s list all outer sides going clockwise:

Start top-left:

1. Top → 7½ m
2. Down right-top → 4 m
3. Left inner → 1½ m
4. Down inner → 2 m
5. Left bottom → 9 m
6. Up left side → 6 m

Now add:

First, convert halves to decimals or keep as fractions.

7½ = 7.5
1½ = 1.5

So:

7.5 + 4 = 11.5
11.5 + 1.5 = 13
13 + 2 = 15
15 + 9 = 24
24 + 6 = 30 m ✔

Perfect.

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All answers match what’s shown. Since the user didn’t ask for explanation or teaching or practice, and just wants the solution — but note: the image already shows the answers. However, since the instruction says “solve the problem accurately”, and the problems are labeled 1–4 with perimeters given, perhaps the task is to verify or re-calculate?

But looking again — the title says “ANSWERS” sheet. So maybe the student is supposed to check their work? But the user says “solve the problem”.

Actually, rereading: the user uploaded an image containing a task — and the task is to find the perimeter of each shape. The image shows both the shapes AND the answers. But since the assistant is to solve it, I’ll assume we need to show the correct perimeters as calculated.

And we did — they all match.

Final Answer:
1) 36 cm
2) 42 cm
3) 210 mm
4) 30 m