Question

A builder is building a rectangular deck with dimensions of 16 feet by

Answer 1

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 = $\sqrt{L^{2}+W^{2}}$ ⇒ 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 = $\sqrt{(16)^{2}+(30)^{2}}$

∴ D = $\sqrt{256+900}$

∴ D = $\sqrt{1156}$

∴ 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°