11) Calculate the perimeter and area of the figure. The figure is a T-shape made of rectangles. The top rectangle has a width of 6 mm and a height of 2 mm. The vertical part of the T has a width of 2 mm and a height of 10 mm.

Let's break down the calculation of the perimeter and area of this T-shaped figure.

1. Perimeter Calculation

To find the perimeter, we need to sum the lengths of all the outer edges of the shape.

• The top horizontal bar has a length of 6 mm.
• The two vertical sides of the top bar are each 2 mm.
• The two vertical sides of the bottom part are each 10 mm.
• The bottom horizontal edge has a length equal to the top horizontal bar, which is 6 mm.
• Now, let's consider the inner corners. The horizontal part extending from the vertical stem is 2 mm on each side.

So, the perimeter is:

• Top horizontal: 6 mm
• Left vertical of top bar: 2 mm
• Right vertical of top bar: 2 mm
• Left vertical of bottom bar: 10 mm
• Right vertical of bottom bar: 10 mm
• Bottom horizontal: 6 mm
• Horizontal segment from left stem: 2 mm
• Horizontal segment from right stem: 2 mm

Total Perimeter = 6 + 2 + 2 + 10 + 10 + 6 + 2 + 2 = 40 mm

2. Area Calculation

We can calculate the area by dividing the T-shape into two rectangles:

• Rectangle 1 (Top bar):
• Width = 6 mm
• Height = 2 mm
• Area1 = Width × Height = 6 mm × 2 mm = 12 mm²
• Rectangle 2 (Bottom vertical part):
• Width = 2 mm
• Height = 10 mm
• Area2 = Width × Height = 2 mm × 10 mm = 20 mm²

The total area is the sum of the areas of these two rectangles:

• Total Area = Area1 + Area2 = 12 mm² + 20 mm² = 32 mm²

Therefore:

• Perimeter: 40 mm
• Area: 32 mm²

Ответ: Периметр: 40 мм, Площадь: 32 мм²