Answer
Area of the shaded portion = 1664 m$^{2}$
Work Step by Step
To find the area of the shaded portion we simply find the area of the entire rectangle and subtract the area of the un-shaded triangle.
Area of a Rectangle: $A$$_{rect}$ = $l$$w$
Therefore:
$A$$_{rect}$ = (52 m)(37 m)
$A$$_{rect}$ = 1924 m$^{2}$
Area of a Triangle: $A$$_{tri}$ = $\frac{1}{2}$$b$$h$
Therefore:
$A$$_{tri}$ = $\frac{1}{2}$(52 m)(10 m)
$A$$_{tri}$ = 260 m$^{2}$
$A$$_{total}$ = $A$$_{rect}$ - $A$$_{tri}$
Therefore:
$A$$_{total}$ = 1924 m$^{2}$ - 260 m$^{2}$
= 1664 m$^{2}$
