Roofing You are replacing the roof on the house shown, 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.

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Step-by-step explanation:

According to the Question,

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

282 6/7 cm^2

step-by-step explanation: