Question

Emilio is decorating a ballroom ceiling with a garland the width of the rectangle ceiling is 9 m in a diagonal distance from La Quinta to opposite corners 15 m how much garland 1 million need for the length of the ceiling

Answer 1

Emilio will need 42 metres length of garland to decorate the length of the ceiling.

Explanation:

Step 1: Determining the length of the ceiling

The Width of ceiling = 9 m

The Diagonal of ceiling = 15 m

The Length of the ceiling = y m

The width, diagonal and length of the ceiling forms a right-angle triangle with the diagonal as the hypotenuse

From Pythagoras theorem: 15² m² = 9² m² + y²

y² = 225 m² - 81 m²

y² = 144 m²

Take square root of both sides

y = 12 m

Length of the ceiling = 12 m

Step 2: Determining the perimeter of the ceiling

Perimeter of the ceiling = 2 ( length + width)

Perimeter of the ceiling = 2 (12 + 9) m = 2 × 21 m

Perimeter of the ceiling = 42 m

Therefore, Emilio will need 42 metres length of garland to decorate the length of the ceiling.