Question

a miniature golf course designs a putting green composed of a rectangle and two semicircles. determine the approximate amount of turf needed to cover the putting green. 6.5 ft 13 ft

Explanation:

Step1: Calculate area of rectangle

The rectangle has length $l = 13$ ft and width $w=6.5$ ft. The area of a rectangle $A_{rect}=l\times w$. So $A_{rect}=13\times6.5 = 84.5$ square - feet.

Step2: Calculate area of two - semi - circles

The two semi - circles together form a full circle. The diameter of the circle $d = 6.5$ ft, so the radius $r=\frac{d}{2}=\frac{6.5}{2}=3.25$ ft. The area of a circle is $A_{circle}=\pi r^{2}$, with $\pi\approx3.14$. Then $A_{circle}=3.14\times(3.25)^{2}=3.14\times10.5625 = 33.16625$ square - feet.

Step3: Calculate total area

The total area of the putting green $A = A_{rect}+A_{circle}$. So $A=84.5 + 33.16625=117.66625\approx117.7$ square feet.

Answer:

$117.7$ square feet