Area 2 | PDF - Free Printable

I'll solve this math worksheet step by step. The goal is to find the area of various figures and then use those answers to decode a joke about why elephants have ivory tusks.

Let me start by solving each problem:

Section I: Find the area of each figure

1. Rectangle: 6m × 4m = 24 m²
2. L-shaped figure: Can be divided into two rectangles - (6m × 4m) + (2m × 2m) = 24m² + 4m² = 28m², but looking at it differently, it's a 6m×4m rectangle minus a 2m×2m square: 24m² - 4m² = 20m²
3. Figure with cutout: 6m×4m rectangle minus 3m×2m rectangle: 24m² - 6m² = 18m²
4. L-shaped figure: Can be seen as 8in×6in rectangle plus 5in×4in rectangle: 48in² + 20in² = 68in², or alternatively, 8in×10in rectangle minus 3in×4in rectangle: 80in² - 12in² = 68in²
5. L-shaped figure: 12in×7in rectangle plus 5in×7in rectangle: 84in² + 35in² = 119in², or 12in×12in square minus 5in×5in square: 144in² - 25in² = 119in²
6. Complex shape: Can be divided into two rectangles - 9cm×5cm + 18cm×5cm = 45cm² + 90cm² = 135cm², or alternatively, 18cm×10cm rectangle minus 9cm×5cm rectangle: 180cm² - 45cm² = 135cm²

Section II: Find the area of the shaded region

7. Yard with sandbox: 20ft×15ft - 7ft×7ft = 300ft² - 49ft² = 251ft²
8. Wall with windows: 16ft×8ft - 2×(5ft×4ft) = 128ft² - 40ft² = 88ft²
9. Sidewalk around pool: 30ft×30ft - 27ft×27ft = 900ft² - 729ft² = 171ft²

Section III: Solve

10. Bedroom carpet cost: Area = 15ft × 12ft = 180ft². Convert to square yards: 180ft² ÷ 9 = 20yd². Cost = 20yd² × $22/yd² = $440
11. Rose garden length: Area = length × width, so 144m² = length × 9m, therefore length = 144m² ÷ 9m = 16m

Now I need to match these answers to the answer key and fill in the corresponding letters in the boxes at the bottom.

Let me verify my calculations against the answer choices:
- Problem 1: 24m² → E
- Problem 2: 20m² → L
- Problem 3: 18m² → O
- Problem 4: 68in² → T
- Problem 5: 119in² → W
- Problem 6: 135cm² → I
- Problem 7: 251ft² → U
- Problem 8: 88ft² → D
- Problem 9: 171ft² → S
- Problem 10: $440 → N
- Problem 11: 16m → R

Looking at the answer grid at the bottom, I need to place these letters in the boxes corresponding to the problem numbers.

The boxes are arranged as: 6, 11, 3, 10, 3, 10, 1, 9, 5, 3, 7, 2, 8, 11, 7, 9, 4

So the sequence of letters would be:
- Box 6: I (from problem 6)
- Box 11: R (from problem 11)
- Box 3: O (from problem 3)
- Box 10: N (from problem 10)
- Box 3: O (from problem 3)
- Box 10: N (from problem 10)
- Box 1: E (from problem 1)
- Box 9: S (from problem 9)
- Box 5: W (from problem 5)
- Box 3: O (from problem 3)
- Box 7: U (from problem 7)
- Box 2: L (from problem 2)
- Box 8: D (from problem 8)
- Box 11: R (from problem 11)
- Box 7: U (from problem 7)
- Box 9: S (from problem 9)
- Box 4: T (from problem 4)

This gives us: I R O N O N E S W O U L D R U S T

That doesn't make sense. Let me double-check my calculations, particularly for problems 2 and 6.

For problem 2: It's a 6m×4m rectangle with a 2m×2m corner missing. So area = (6×4) - (2×2) = 24 - 4 = 20m². That matches answer L.

For problem 6: It's a complex shape. If I divide it into two rectangles: top part is 9cm×5cm = 45cm², bottom part is 18cm×5cm = 90cm². Total = 45+90 = 135cm². That matches answer I.

Let me reconsider the answer grid. Maybe I need to look at the answer choices more carefully.

Actually, let me re-read the instructions: "Write the letter of the answer in each box containing the number of the exercise."

So for box labeled "6", I put the letter corresponding to the answer of problem 6.
For box labeled "11", I put the letter corresponding to the answer of problem 11.
And so on.

The sequence is: I, R, O, N, O, N, E, S, W, O, U, L, D, R, U, S, T

This spells: IRON ONESW OULD RUST

That still doesn't make complete sense. Let me check if I made an error in problem 5.

Problem 5: 12in×12in square minus 5in×5in square = 144 - 25 = 119in², which is W.

Perhaps the joke is "IRON ONES WOULD RUST" but that doesn't seem right.

Wait, let me look at the answer choices again. Maybe I misidentified some answers.

Let me go through each problem one more time:

1. 6×4 = 24m² → E
2. 6×4 - 2×2 = 24 - 4 = 20m² → L
3. 6×4 - 3×2 = 24 - 6 = 18m² → O
4. 8×6 + 5×4 = 48 + 20 = 68in² → T (or 8×10 - 3×4 = 80 - 12 = 68in²)
5. 12×12 - 5×5 = 144 - 25 = 119in² → W
6. 9×5 + 18×5 = 45 + 90 = 135cm² → I (or 18×10 - 9×5 = 180 - 45 = 135cm²)
7. 20×15 - 7×7 = 300 - 49 = 251ft² → U
8. 16×8 - 2×(5×4) = 128 - 40 = 88ft² → D
9. 30×30 - 27×27 = 900 - 729 = 171ft² → S
10. 15×12 = 180ft² = 20yd², 20×22 = $440 → N
11. 144÷9 = 16m → R

The answer sequence is: I, R, O, N, O, N, E, S, W, O, U, L, D, R, U, S, T

This spells: IRON ONESW OULD RUST

I think there might be a typo in my reading or the puzzle is meant to be "IRON ONES WOULD RUST" which doesn't make much sense in the context of elephants and ivory tusks.

Wait, perhaps it's "IRON ONES WOULD RUST" meaning that if elephants had iron tusks, they would rust, but they have ivory tusks which don't rust. That could be the joke!

The final answer is: IRON ONES WOULD RUST