Question

The area of the field ABGFEA (not drawn to scale) is

• A. $7225m^2$
• B. $7230m^2$
• C. $7235m^2$
• D. $7240m^2$

Answer 1

The correct option is A $7225m^2$

Area of $ABGFEA=ar\left(△EFA\right)+$$ar\left(△FHG\right)+ar\left(HDBG\right)+ar\left(△DAB\right)$

$=\frac{1}{2}\times EC\times AC+\frac{1}{2}\times FH\times HG+\frac{1}{2}\times HD\times (DB+HG)+\frac{1}{2}\times DA\times DB$

$=\frac{1}{2}\times 45\times 140+\frac{1}{2}\times 50\times 50+\frac{1}{2}\times 50\times (50+35)+\frac{1}{2}\times 40\times 35$

$=3150+1250+2125+700$

$=7225m^2$

Hence, A is the correct option.