Answer:
The value of x is
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc DF
we know that
The inscribed angle measures half that of the arc comprising
so
we have
substitute
step 2
Find the measure of x
we know that
---> is a semi circle
we have
substitute
Answer:
B. 1,251 ft²
Step-by-step explanation:
The walkway can be divided into 4 rectangles as shown in the attachment below.
Calculate the area of the walkway part by part.
Part 1 and Part 2:
Length = 100 ft + 4½ ft + 4½ ft = 109 ft
Width = 4½ ft
Area of part 1 and 2 = 2(length * width)
= 2(109*4½) = 981 ft²
Part 3 and Part 4:
Length = 30 ft
Width = 4½ ft
Area of part 1 and 2 = 2(length * width)
= 2(30*4½) = 270 ft²
Area of the walkway = 981 + 270 = 1,251 ft²
