Numeracy: Area | Worksheet | PrimaryLeap.co.uk - Free Printable

Let’s work through each shape one by one to find the area.

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Shape 1: Square

- All sides are 3 cm.
- Area of a square = side × side
- So, 3 cm × 3 cm = 9 cm²

✔ Checked: Correct.

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Shape 2: Rectangle

- Length = 6 cm, Width = 4 cm
- Area of rectangle = length × width
- So, 6 cm × 4 cm = 24 cm²

✔ Checked: Correct.

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Shape 3: Right Triangle

- Base = 5 cm, Height = 4 cm
- Area of triangle = (base × height) ÷ 2
- So, (5 × 4) ÷ 2 = 20 ÷ 2 = 10 cm²

✔ Checked: Correct.

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Shape 4: Triangle

- Base = 9 cm, Height = 7 cm (shown with dashed line)
- Area = (base × height) ÷ 2
- So, (9 × 7) ÷ 2 = 63 ÷ 2 = 31.5 cm²

✔ Checked: Correct.

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Shape 5: L-shaped shape

We can split this into two rectangles.

Option 1:
- Left rectangle: 6 cm tall × 3 cm wide → area = 6 × 3 = 18 cm²
- Bottom right rectangle: 3 cm tall × 3 cm wide → area = 3 × 3 = 9 cm²
- Total = 18 + 9 = 27 cm²

Wait — let’s check the drawing again.

Actually, looking at the labels:

- The whole bottom is 6 cm.
- The left side is 6 cm tall.
- The top part sticks out? No — it’s an L-shape.

Better way:

Split vertically:

- Left rectangle: 6 cm high × 3 cm wide → 18 cm²
- Right rectangle: 3 cm high × 3 cm wide → 9 cm²
→ Total = 27 cm²

Alternatively, split horizontally:

- Bottom rectangle: 6 cm wide × 3 cm high → 18 cm²
- Top rectangle: 3 cm wide × 3 cm high → 9 cm²
→ Still 27 cm²

✔ Checked: Correct.

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Shape 6: Another L-shape

Labels:

- Top horizontal: 9 cm
- Left vertical: 5 cm
- Right vertical: 8 cm
- Bottom right small part: 3 cm wide, 1 cm high? Wait — let’s read carefully.

Actually, from the diagram:

It’s like a big rectangle missing a piece? Or we can split it.

Best way: Split into two rectangles.

Option:

- Top rectangle: 9 cm wide × 5 cm high → area = 45 cm²
- Bottom right rectangle: 3 cm wide × 3 cm high? Wait — no.

Wait — look again:

The shape has:

- Top edge: 9 cm
- Left edge: 5 cm
- Right edge: 8 cm total
- Bottom right has a 3 cm horizontal and 1 cm vertical? Actually, the label says “3cm” on the bottom right horizontal, and “1cm” on the very bottom right vertical.

Actually, better to think:

Total height on right is 8 cm, but left is only 5 cm — so the bottom part sticks down 3 cm on the right.

And the bottom right part is 3 cm wide and 1 cm high? That doesn’t add up.

Wait — perhaps the 3cm is the width of the bottom extension, and 1cm is its height? But then total height would be 5 + 1 = 6 cm, but right side says 8 cm — contradiction.

Let me reinterpret based on standard L-shapes.

Actually, looking at the labels:

- Top: 9 cm
- Left: 5 cm
- Right side: 8 cm (so from top to bottom on right is 8 cm)
- Bottom right: there’s a 3 cm horizontal segment and a 1 cm vertical segment — probably meaning the bottom part is 3 cm wide and 1 cm tall? But that doesn’t fit.

Alternative interpretation:

The shape is made of:

- A big rectangle 9 cm wide × 5 cm high → area = 45 cm²
- Plus a smaller rectangle on the bottom right: 3 cm wide × 3 cm high? Because 8 cm total height minus 5 cm = 3 cm extra height on the right.

But the label says “3cm” on the bottom horizontal and “1cm” on the bottom vertical — maybe that’s a mistake? Or perhaps it’s 3 cm wide and 3 cm high?

Wait — let’s calculate total area another way.

If we consider the full bounding box:

Width = 9 cm

Height = 8 cm (on the right)

But the left is only 5 cm, so the missing part is on the bottom left? No — it’s an L-shape opening to the bottom left? Actually, from the drawing description, it’s likely:

The shape consists of:

- Top rectangle: 9 cm × 5 cm = 45 cm²
- Bottom rectangle: 3 cm × 3 cm = 9 cm²? But why 3 cm?

Wait — the bottom right has a 3 cm label horizontally and 1 cm vertically — perhaps that’s the size of the protrusion? But 1 cm seems too small.

Another approach: Add the areas as drawn.

From the labels:

- The vertical on the right is 8 cm.
- The horizontal on top is 9 cm.
- The left vertical is 5 cm.
- Then, from the bottom of the left part, it goes right 3 cm, then down 1 cm? That would make the total height on the right 5 + 1 = 6 cm, but it says 8 cm — inconsistency.

Perhaps the “3cm” and “1cm” are mislabeled, or I’m misreading.

Wait — let’s assume the shape is:

A large rectangle 9 cm wide and 8 cm high, but with a rectangle cut out from the bottom left.

Cut out part: width = 9 - 3 = 6 cm? Height = 8 - 5 = 3 cm? Then area = 9×8 - 6×3 = 72 - 18 = 54 cm².

But that doesn’t match the labels.

Alternatively, split into two parts:

Part 1: The top part — 9 cm wide × 5 cm high = 45 cm²

Part 2: The bottom right part — since the right side is 8 cm total, and top part is 5 cm, so bottom part is 3 cm high. And the width of the bottom part is 3 cm (as labeled). So 3 cm × 3 cm = 9 cm².

Total = 45 + 9 = 54 cm².

But the label says “1cm” on the bottom vertical — perhaps that’s a typo, or it’s indicating something else.

Looking back at the original image description: “3cm” on the bottom right horizontal, and “1cm” on the very bottom right vertical — maybe the bottom part is 3 cm wide and 1 cm high, but then the total height on the right would be 5 + 1 = 6 cm, not 8 cm.

This is confusing.

Perhaps the “8cm” is the total height, and the “5cm” is the left height, so the difference is 3 cm, which matches the “3cm” label on the bottom horizontal? And the “1cm” might be a mistake or for something else.

To resolve, let's use the most logical split:

- Rectangle A: 9 cm × 5 cm = 45 cm² (top part)
- Rectangle B: 3 cm × 3 cm = 9 cm² (bottom right part, since 8 - 5 = 3 cm height, and 3 cm width)

Total = 54 cm²

But the label says "1cm" — perhaps it's 3 cm height, and "1cm" is irrelevant or a error.

Another possibility: the bottom part is 3 cm wide and 1 cm high, but then the total height on the right is 5 + 1 = 6 cm, contradicting the 8 cm label.

Unless the 8 cm includes something else.

Perhaps the shape is:

From left: 5 cm up, then right 6 cm (since 9 - 3 = 6?), then down 3 cm, then right 3 cm, then down 1 cm? That doesn't make sense.

I think there might be a mislabeling, but based on standard problems, and the fact that 8 - 5 = 3, and the bottom width is 3 cm, I'll go with:

Area = (9 × 5) + (3 × 3) = 45 + 9 = 54 cm²

But let's double-check with another method.

Imagine the shape as a big rectangle 9 cm by 8 cm = 72 cm², minus a rectangle that is cut out.

The cut-out part would be on the bottom left: width = 9 - 3 = 6 cm, height = 8 - 5 = 3 cm, so area cut out = 6 × 3 = 18 cm².

Then area = 72 - 18 = 54 cm².

Yes, that makes sense.

So even though the "1cm" is labeled, it might be a distractor or error, but mathematically, 54 cm² is consistent.

Perhaps the "1cm" is the thickness or something, but I think for area, we go with 54 cm².

✔ Final decision: 54 cm²

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Now, compiling all answers:

1) 9 cm²
2) 24 cm²
3) 10 cm²
4) 31.5 cm²
5) 27 cm²
6) 54 cm²

Final Answer:
1) 9 cm²
2) 24 cm²
3) 10 cm²
4) 31.5 cm²
5) 27 cm²
6) 54 cm²