Since AO and OB are the radii of the quarter circle,
AO = OB = 7 cm
Area of trangle AOC = ½ x 7 x 6 = 21 cm2
As for the perimeter, we cannot find out the length of AC or OC individually.
However, we know AC, OC and AO have a combined perimeter of 29 cm. We also know the length of AO = 7 cm.
So, the combined length of AC and OC = 29 – 7 = 22 cm
The only length left to find out is the curved line.
¼ x 2 x πx 7 = 11 cm
Perimeter of figure = 11 + 7 + 22 = 40 cm