Let’s solve this step by step.
We need to find the area of each composite shape and color only those with an area
greater than 40.
---
Shape 1 (top):
This is an L-shaped figure. We can split it into two rectangles:
- Left rectangle: width = 5, height = 7 → Area = 5 × 7 =
35
- Right rectangle: width = 3, height = 4 → Area = 3 × 4 =
12
But wait — if we add them, we get 35 + 12 = 47? Let’s check if that’s correct.
Actually, looking again: The total height on the left is 7, but the right part is only 4 tall. So the top part of the left rectangle sticks up above the right one.
Better way: Split horizontally or vertically?
Alternative split:
- Bottom rectangle: full width = 5 + 3 = 8, height = 4 → Area = 8 × 4 =
32
- Top rectangle: only on the left, width = 5, height = 7 - 4 = 3 → Area = 5 × 3 =
15
Total = 32 + 15 =
47
✔ Area = 47 → Greater than 40 → COLOR THIS ONE
---
Shape 2 (middle left):
Two rectangles side by side.
- Left: 5 × 5 =
25
- Right: 4 × 4 =
16
Total = 25 + 16 =
41
✔ Area = 41 → Greater than 40 → COLOR THIS ONE
---
Shape 3 (middle right):
Another L-shape.
Split into two parts:
Option:
- Bottom rectangle: width = 3 + 2 = 5? Wait, let's look carefully.
Actually, from the diagram:
The shape has:
- A bottom part that is 4 units high and spans the whole width? Not exactly.
Better split:
- Left vertical rectangle: width = 2, height = 4 → Area = 2 × 4 =
8
- Right rectangle: width = 3, height = 5 → Area = 3 × 5 =
15
Wait — but they overlap? No, actually, the right part is taller.
Actually, the shape looks like:
Imagine a big rectangle 5 wide (2+3) and 5 tall, but missing a small rectangle on top-left.
Big rectangle: 5 × 5 = 25
Missing piece: width = 2, height = 5 - 4 = 1 → Area = 2 × 1 = 2
So area = 25 - 2 =
23
Alternatively, split as:
- Bottom rectangle: width = 5 (2+3), height = 4 → 5×4=20
- Top-right rectangle: width=3, height=1 (since total height is 5, bottom is 4) → 3×1=3
Total = 20 + 3 =
23
✔ Area = 23 → Less than 40 → DO NOT COLOR
---
Shape 4 (bottom):
Two rectangles side by side.
- Left: 12 × 3 =
36
- Right: 3 × 3 =
9
Total = 36 + 9 =
45
✔ Area = 45 → Greater than 40 → COLOR THIS ONE
---
Now, let’s list which ones to color:
- Shape 1: 47 →
✔ Color
- Shape 2: 41 →
✔ Color
- Shape 3: 23 →
✘ Don’t color
- Shape 4: 45 →
✔ Color
Final Answer:
Color the top shape, the middle-left shape, and the bottom shape. Do not color the middle-right shape.
Parent Tip: Review the logic above to help your child master the concept of composite shapes area worksheet.
