Answer:
The area of the garden is 100.27 ft² rounded up to the nearest hundredth.
Step-by-step explanation:
The quarter circle is the area of a circle with a radius of 6, but divided by 4. The formula for area of a circle is π × r²
r² (6²) = 36
36 × π = 113.097336 ft²
Divide this value by 4 to get the area of the quarter circle, 28.274334 ft²
Now add the areas of both squares (each is 36 ft², so 72 ft² total)
28.274334 + 72 = 100.274334 ft²
Rounding to the nearest hundredth, the answer is simply 100.27 ft²
EDIT: If your instructor/class expects you to use the value 3.14 rather than the full form of pi on your calculator (which is 3.1415926535...), then your answer is slightly lower, 100.26 ft² I believe!
Hope this helps! :D
