Answer:
[tex]\large \boxed{\text{56 cm; 1848 cm}^{2}}[/tex]
Step-by-step explanation:
The diagonal divides the rectangle into two right triangles.
A. Calculate the width of the rectangle
We can use Pythagoras' Theorem.
[tex]\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\a^{2} + 33^{2} & = & 65^{2}\\a^{2} +1089 & = & 4225\\a^{2} & = & 3136\\a & = & \mathbf{56}\\\end{array}\\\text{The width of the triangle is $\large \boxed{\textbf{56 cm}}$}[/tex]
B. Calculate the area of the rectangle
The formula for the area A of a rectangle is
A = lw = 33 cm × 56 cm = 1848 cm²
