1. **State the problem:** Calculate the perimeter and area of the given irregular "T"-shaped polygon with dimensions 10 cm and 4 cm. 2. **Perimeter calculation:** The perimeter is the sum of all outer sides. Given sides: 10 cm + 8 cm + 10 cm + 8 cm 3. **Add the sides:** $$10 + 8 + 10 + 8 = 36$$ So, the perimeter is 36 cm. 4. **Area calculation:** The shape can be divided into two rectangles. - Rectangle 1: 10 cm by 4 cm - Rectangle 2: 4 cm by 4 cm 5. **Calculate each area:** $$10 \times 4 = 40$$ $$4 \times 4 = 16$$ 6. **Add the areas:** $$40 + 16 = 56$$ So, the total area is 56 cm\textsuperscript{2}. **Final answers:** - Perimeter = 36 cm - Area = 56 cm\textsuperscript{2}