Question

What is the area of the composite figure if AB ≅ BC ≅ CD ≅ DA ≅ DN?

(2π + 28) mm2
(2π + 32) mm2
(2π + 40) mm2
(2π + 48) mm2

Answer 1

c

Explanation:

Answer 2

Option 3. (2π + 40) mm².

Explanation:

Area of the composite figure = area of MKCD + area of ABCD + area of semi circle with AB as diameter.

Then Area A = (DC + MK)/2 × DN + AB² + (1/2)×π×2²

= (4 + 8)/2 × 4 + 4² + (1/2)×π×4

= 24 + 16 + 2π = (2π + 40) mm²

Therefore option 3. (2π + 40) mm².