The area of a full circle is given by A = π*r^2 so the area of a 1/4 circle will be 1/4 of that: A = (π/4)*r^2
The area of a parallelogram is the product of base length and height: A = bh
Your composite figure will have an area that is the sum of the areas of the parts. A = (quarter circle area) + (parallelogram area) A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in) A ≈ 223.86 in^2 ≈ 224 in^2
The most appropriate selection is the last one, 224 in^2
If you want to find out what that number is, then let's call it n n + 3n (Three times the number) + 12 = 32 Simplify 4n + 12 = 32 Subtract 12 from each side 4n = 20 Divide each side by 4 n = 5
