Question

What is the perimeter and area of this shape​

Answer 1

Check the picture below.

so we have four quarters of a circle, giving us a full circle really, with a radius of 3 and a rectangles and a square.

`\stackrel{ \textit{full circle} }{2\pi (3)}~~ + ~~\stackrel{ \textit{three lines} }{3~~ + ~~3~~ + ~~3}\implies 6\pi +9 ~~ \approx ~~ \stackrel{ Perimeter }{\text{\LARGE 27.85}}~cm \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{full circle} }{\pi (3)^2}~~ + ~~\stackrel{ square }{(3)(3)}~~ + ~~\stackrel{ rectangle }{(3)(7)}\implies 9\pi +9+21 ~~ \approx ~~ \stackrel{ Area }{\text{\LARGE 58.27}}~cm^2`