There is a lack of a diagram to go along with this question...
X + y = 47
x = y + 13
y + 13 + y = 47
2y + 13 = 47
2y = 47 - 13
2y = 34
y = 34/2
y = 17
x = y + 13
x = 17 + 13
x = 30.....longer piece is 30 inches
Answer:
13.0833 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 5 ft
Angle sustained by the sector (θ) = 360 – 300
= 60°
Pi (π) = 3.14
Area of sector (A) =?
The area of the sector can be obtained as follow:
A = θ/360 × πr²
A = 60/360 × 3.14 × 5²
A = 1/6 × 3.14 × 25
A = 1/6 × 78.5
A = 78.5/6
A = 13.0833 ft²
Thus, the area of the sector is 13.0833 ft²
