Calculate the perimeter and area of the shape shown in the image, given the dimensions. The shape is a T-shape with the following dimensions: top horizontal bar is 6 mm wide and 2 mm high. The vertical stem is 10 mm long and 2 mm wide. The overall height of the shape is 10 mm (stem) + 2 mm (top bar) = 12 mm.

The shape provided is a T-shape. We need to calculate its perimeter and area.

Dimensions:

• Top bar width: 6 mm
• Top bar height: 2 mm
• Vertical stem width: 2 mm
• Vertical stem height: 10 mm

Perimeter Calculation:

The perimeter is the total length of all the outer edges of the shape. We can break down the perimeter into segments:

• Top horizontal segment: 6 mm
• Two vertical segments of the top bar: 2 mm each (total 2 * 2 mm = 4 mm)
• Two outer vertical segments of the stem: 10 mm each (total 2 * 10 mm = 20 mm)
• Bottom horizontal segment of the stem: 2 mm
• Two inner horizontal segments connecting the stem to the top bar: 2 mm each (total 2 * 2 mm = 4 mm)

Total Perimeter = 6 mm + 4 mm + 20 mm + 2 mm + 4 mm = 36 mm

Perimeter:

Ответ: 36 мм

Area Calculation:

The area can be calculated by dividing the T-shape into two rectangles:

• Rectangle 1 (Top Bar): Width = 6 mm, Height = 2 mm. Area1 = 6 mm * 2 mm = 12 mm²
• Rectangle 2 (Vertical Stem): Width = 2 mm, Height = 10 mm. Area2 = 2 mm * 10 mm = 20 mm²

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

Area:

Ответ: 32 мм²