Quiz worksheet on calculating the area of basic geometric shapes including rectangles, parallelograms, triangles, and trapezoids.

Let's solve each of the four problems step by step.

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Question 1: Area of a Rectangle

Given:
- Length = 20 in
- Width = 9 in

Formula for area of a rectangle:
$$
\text{Area} = \text{length} \times \text{width}
$$

$$
\text{Area} = 20 \times 9 = 180 \text{ in}^2
$$

✔ Answer: B) 180 in²

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Question 2: Area of a Parallelogram

Given:
- Base = 11 m
- Height = 7 m (note: height is perpendicular to the base, shown as dashed line)

Formula for area of a parallelogram:
$$
\text{Area} = \text{base} \times \text{height}
$$

$$
\text{Area} = 11 \times 7 = 77 \text{ m}^2
$$

✔ Answer: A) 77 m²

> Note: The side labeled 8 m is not the height — it’s just a slanted side. We use the perpendicular height (7 m).

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Question 3: Area of a Triangle

We are given a triangle on a grid. Let's analyze it.

From the image:
- The triangle has a base that spans 6 units horizontally.
- The height is 8 units vertically (from the base to the top vertex, measured perpendicularly).

Alternatively, we can count:

- The base = 6 units (horizontal)
- The height = 8 units (vertical, from the base to the tip)

Formula for area of a triangle:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$

$$
\text{Area} = \frac{1}{2} \times 6 \times 8 = 24 \text{ units}^2
$$

✔ Answer: A) 24 units²

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Question 4: Area of a Trapezoid

Given:
- Base₁ = 6 m (top base)
- Base₂ = 11 m (bottom base)
- Height = 8 m (perpendicular distance between bases)

Formula for area of a trapezoid:
$$
\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{height}
$$

$$
\text{Area} = \frac{1}{2} \times (6 + 11) \times 8 = \frac{1}{2} \times 17 \times 8 = 68 \text{ m}^2
$$

But wait — this answer isn't listed? Let's check the options.

Wait! The question says "What is the area of this trapezoid?" but no options are visible in your image for Question 4.

However, based on the calculation:

$$
\text{Area} = \frac{1}{2} \times (6 + 11) \times 8 = 68 \text{ m}^2
$$

So unless there's a typo or missing option, the correct answer should be 68 m².

But since no choices are provided in your image for #4, I’ll assume you want the correct value.

✔ Answer: 68 m²

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✔ Final Answers:

1. B) 180 in²
2. A) 77 m²
3. A) 24 units²
4. 68 m² (No options shown, but this is correct)

Let me know if you'd like help with the rest of the quiz!