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Shark-themed math worksheet for calculating area and perimeter.

A printable math worksheet featuring a shark-themed geometry problem with measurements for a fish tank, fish, and shark, set on a green grass background with a "One for the Books" logo.

A printable math worksheet featuring a shark-themed geometry problem with measurements for a fish tank, fish, and shark, set on a green grass background with a "One for the Books" logo.

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Show Answer Key & Explanations Step-by-step solution for: 6th Grade Math Project Ideas - One for the Books - Math Resources
Looking at the image, we can see three separate figures with labeled dimensions. Since no specific question is asked (like “find the area” or “find the perimeter”), and given the context of a worksheet from “One for the Books,” it’s likely that the task is to calculate the area of each figure — as that’s a common elementary math skill taught with such diagrams.

Let’s go figure by figure.

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Figure 1: Beach Scene Rectangle

This is a simple rectangle:
- Length = 12 feet
- Width = 4 feet

Area of rectangle = length × width
→ 12 × 4 = 48 square feet

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Figure 2: Fish Shape

The fish is made of two parts:
- A main body: rectangle that is 6 feet long and 5.5 feet tall → area = 6 × 5.5 = 33 sq ft
- A tail: triangle with base = 2.5 feet and height = 2 feet → area = (base × height) ÷ 2 = (2.5 × 2) ÷ 2 = 5 ÷ 2 = 2.5 sq ft

Total area of fish = 33 + 2.5 = 35.5 square feet

Wait — let’s double-check the triangle. The diagram shows the tail as a triangle with base 2.5 ft and height 2 ft? Actually, looking again: the tail is attached to the side, and the 2 feet is the vertical height of the triangle, while the 2.5 feet is the horizontal base. Yes, so area = ½ × 2.5 × 2 = 2.5 — correct.

But wait — is the 2.5 feet the full base? The diagram shows the tail sticking out, and the 2.5 ft is labeled along the slanted edge? Hmm — actually, re-examining: the tail is a right triangle? Or is it an isosceles triangle?

Actually, the diagram shows the tail as a triangle with base 2.5 feet (horizontal) and height 2 feet (vertical), so yes — area = ½ × 2.5 × 2 = 2.5. Correct.

So total fish area = 33 + 2.5 = 35.5 sq ft

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Figure 3: Shark Shape

This is more complex. It looks like a combination of shapes.

We’re told the total length is 18 feet.

Let’s break it down:

- The main body: appears to be a trapezoid or irregular shape? But note: the left end is 6 feet tall, the right end (head) is 4 feet tall, and the total length is 18 feet.

Actually, looking closely: the shark’s body can be thought of as a large rectangle minus some parts? Or perhaps composed of simpler shapes.

Alternatively, notice there’s a fin on top: a triangle with base 2 feet and height 3 feet → area = ½ × 2 × 3 = 3 sq ft

And the tail? On the left, it’s a triangle? The left end is 6 feet tall, and the base of the tail triangle is 3 feet (labeled). So tail triangle: base 3 ft, height 6 ft? Wait — if it’s a right triangle, then area = ½ × 3 × 6 = 9 sq ft

But wait — the entire shark might be better calculated as:

Imagine the shark’s body as a trapezoid: parallel sides are 6 ft (left) and 4 ft (right), height (length) = 18 ft.

Area of trapezoid = ½ × (sum of parallel sides) × height
= ½ × (6 + 4) × 18 = ½ × 10 × 18 = 5 × 18 = 90 sq ft

Then add the dorsal fin: triangle with base 2 ft, height 3 ft → area = ½ × 2 × 3 = 3 sq ft

Total shark area = 90 + 3 = 93 sq ft

But wait — is the tail already included in the trapezoid? Yes, because the trapezoid includes the entire body from left (6ft) to right (4ft). The tail triangle I thought earlier is actually part of the trapezoid’s left side — so we don’t add it again.

Also, the mouth/teeth are just decorative — no area to add.

So shark area = trapezoid (90) + fin (3) = 93 sq ft

But let me verify the trapezoid assumption.

Alternative approach: divide the shark into:

- A central rectangle? Not really.

Or: from left to right, the height decreases from 6 to 4 over 18 feet — so yes, trapezoid is appropriate.

Another way: average height = (6+4)/2 = 5 ft, times length 18 ft = 90 sq ft — same as trapezoid formula.

Plus the fin: 3 sq ft.

Total: 93 sq ft.

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Now, summarizing:

- Beach rectangle: 48 sq ft
- Fish: 35.5 sq ft
- Shark: 93 sq ft

But the problem doesn’t specify what to do. Since this is likely a worksheet asking for areas, and no other instruction is visible, I’ll assume the task is to find the area of each shape.

However, since the user didn’t ask a specific question, and the options say “ExplainAnswer: false”, etc., but we must provide a final answer — perhaps the intended task was to compute all three areas.

But to be safe, maybe the worksheet expects one answer? Unlikely.

Wait — perhaps the student is supposed to label or something else? But without a clear question, and given the context, computing areas is most reasonable.

Alternatively, maybe the problem is to find the total area of all three figures?

That could be: 48 + 35.5 + 93 = let’s calculate:

48 + 35.5 = 83.5
83.5 + 93 = 176.5 sq ft

But again, not specified.

Given the ambiguity, and since the image shows three separate problems, I think the expected response is to provide the area of each.

But the final answer format requires a single boxed answer.

Perhaps the original task was cut off? In many such worksheets, students are asked to “Find the area of each figure.”

Since we must provide a final answer, and to be practical, I’ll list all three areas clearly.

But the instruction says: “Provide only the final correct answer” — implying one answer.

Wait — looking back at the image, there’s no question mark or instruction text visible. Only the figures and a logo.

This is tricky.

Perhaps the task is implied: “Calculate the area of each shape.”

In that case, the final answer should be the three areas.

But how to box three numbers?

Maybe the problem is from a set where each figure is a separate problem, but since it’s one image, perhaps we report all.

I think the safest is to state the areas of the three figures.

Final Answer:
Beach scene: 48 square feet; Fish: 35.5 square feet; Shark: 93 square feet

But to fit the format, perhaps write:

\boxed{48}, \boxed{35.5}, \boxed{93}

But the instruction says "the final answer" — singular.

Alternatively, maybe the worksheet has a specific question not visible? But we have to work with what’s given.

Another thought: perhaps the student is to find the perimeter? Let’s check quickly.

For beach rectangle: perimeter = 2*(12+4) = 32 ft — but not likely, since the focus seems on area.

Fish: perimeter would be complicated — includes curves? The smile and eye are decorative, but the outline — hard to calculate without more info.

Shark: similarly complex.

So area is more feasible.

Given that, and since no specific question is asked, I will provide the areas of the three figures as the solution.

Final Answer:
The areas are 48 square feet for the beach scene, 35.5 square feet for the fish, and 93 square feet for the shark.

But to adhere to the format, perhaps:

\boxed{48} \text{ ft}^2, \boxed{35.5} \text{ ft}^2, \boxed{93} \text{ ft}^2

However, the instruction says "provide only the final correct answer" — and if it's multiple, we can list them.

I think that's acceptable.

Let me confirm calculations once more:

1. Beach: 12 * 4 = 48 ✓
2. Fish: body 6*5.5=33, tail 0.5*2.5*2=2.5, total 35.5 ✓
3. Shark: trapezoid (6+4)/2 * 18 = 5*18=90, fin 0.5*2*3=3, total 93 ✓

All good.

Final Answer:
\boxed{48} \text{ ft}^2, \boxed{35.5} \text{ ft}^2, \boxed{93} \text{ ft}^2
Parent Tip: Review the logic above to help your child master the concept of 6th grade math projects.
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