Answer:
Each diagonal should measure 34 feet to ensure that the sides form 90°
Step-by-step explanation:
The relation between the diagonal of the rectangle and its length and width is D = [tex]\sqrt{L^{2}+W^{2}}[/tex] ⇒ Pythagoras Theorem
∵ A builder is building a rectangular deck with dimensions of 16 feet
by 30 feet
∴ L = 16 feet
∴ W = 30 feet
→ By using the Pythagoras Theorem above to find its diagonal
∵ D = [tex]\sqrt{(16)^{2}+(30)^{2}}[/tex]
∴ D = [tex]\sqrt{256+900}[/tex]
∴ D = [tex]\sqrt{1156}[/tex]
∴ D = 34 feet
→ The diagonals of the rectangle are equal
∴ The length of each diagonal of the rectangle = 34 feet
Each diagonal should measure 34 feet to ensure that the sides form 90°
