Answer:
See Explanation
Explanation:
According to the Question,
- Given That, Roofing You are replacing the roof on the house (Please Find Diagram in attachment), and you want to know the total area of the roof. The roof has a 1-1 pitch on both sides, which means that it slopes upward at a rate of 1 vertical unit for each 1 horizontal unit.
1). find the value of x and y. (Please Find Diagram in the attachment)
⇒ Now, Because of the “1-1 pitch”, the triangle you see with x and y is an isosceles right triangle in Diagram, with hypotenuse 24.
⇒ That means x and y are equal (x=y) and using the 45° , 45° , 90° triangle ratio,
And, By Pythagoras Theorem We get
x² + x² = 24²
2x² = 576
x² = 288 ⇔ √288 ⇒ x=12√2 & y=12√2
2). Find the Total area of the roofing (Please Find Diagram in the attachment)
⇒ Now, The total area of the roof is the sum of the two isosceles right triangles on each side of the roof, plus the two rectangles.
⇒ Total Area = 2×{1/2× 12√2 × 12√2 × Sin90°} + 2×{35×12√2}
⇒ Total Area = 288 + 1187.93
⇒ Total Area = 1475.93 Unit²