Question

find the area of this irregular shape. 12 m 6 m 6 m 15 m 9 m 6 m 15 m begin by dividing this shape into smaller rectangles. how many rectangles do you see? a) 1 b) 2 c) 3 hint: a square is a special type of rectangle.

Explanation:

Step1: Analyze the shape's division

The irregular shape can be divided into three rectangles:

1. Top rectangle: \(12\,\text{m} \times 6\,\text{m}\)
2. Middle-left rectangle: \(6\,\text{m} \times 15\,\text{m}\) (Wait, no, re - evaluating: Actually, a better way is: First, the top rectangle (12m by 6m), then the bottom - left rectangle (6m by (15 + 6 - 6)? No, let's use the hint. A square is a rectangle. Let's look at the dimensions. The base is 15m. The top part is 12m long and 6m tall. Then, the middle part: from the 6m indent, we can have a rectangle on the left (6m by (15 + 6 - 6)? No, let's count the number of rectangles. If we divide the shape:

• Rectangle 1: Top horizontal rectangle with length 12m and height 6m.
• Rectangle 2: Bottom - left vertical rectangle? No, wait, another way: The shape can be split into three rectangles:
• Top: \(12\times6\)
• Middle - left: \(6\times15\) (but no, the total height on the left is 6 + 15? Wait, no, the figure has a top rectangle (12m, 6m), then a middle rectangle (6m, 15m) (the left - middle part), and a bottom - right rectangle (9m, 6m). So that's three rectangles. So the number of rectangles is 3.

Step2: Confirm the count

By visually inspecting and using the hint that a square is a rectangle, we can see that the irregular shape can be partitioned into three non - overlapping rectangles.

Answer:

C) 3