Answer:
36x² + 24x + 300 ft²
Step-by-step explanation:
→ Area of rectangle = Length × Width
→ Area of rectangle = (12x + 8) ft × (3x + 15) ft
→ Area of rectangle = 12x(3x + 15) + 8(3x + 15) ft²
→ Area of rectangle = 36x² + 180 + 24x + 120 ft²
→ Area of rectangle = 36x² + 24x + 300 ft²
Answer:
Length of MN = 65.68 feet (Approx.)
Step-by-step explanation:
Given:
Height of NO = 60 feet
Angle ∠M = 66°
Find:
The length of MN
Computation:
Given triangle is a right angled triangle
So,
NO is a perpendicular
MN is hypotenuse
Using trigonometry functions
Sin θ = Perpendicular / Hypotenuse
Sin 66 = NO / MN
0.9135 = 60 / Length of MN
Length of MN = 60 / 0.9135
Length of MN = 65.68 feet (Approx.)
Since the ratio is 1 to 1.5, the measurement 30 inches must correspond to 1. Thus multiply 1.5 by 30.
30*1.5 = 45
Your answer should be 45. An alternate way could be to go through all of them but for me I personally prefer this way as it is much faster and easier. Hope this helps!