Answer:
Option B
Step-by-step explanation:
From the picture attached,
Area of the one side of the roof = Area of the rectangle
= Length × Width
= AE × AC
To get the length of side AC, construct a perpendicular AD on side BC which divides BC in two equal parts.
BD = DC = 13 ft
By applying cosine rule in ΔADC,
cos(45)° = [tex]\frac{\text{DC}}{\text{AC}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{13}{\text{AC}}[/tex]
AC = 13√2
AC = 18.38 ft
Therefore, area of one side of the roof = 38 × 18.38
= 698.62 square feet
Area of both the sides of the roof = 698.62 × 2
= 1397.24 feet²
≈ 1397 feet²
Option B will be the answer.
