Question 3
$ABCD$ is a rectangular house. A fence extends $AB$ to $E$ with $BE=80$ m. A fence extends $BC$ to $F$ with $CF=70$ m. A fence extends $CD$ to $G$ with $DG=50$ m. A fence extends $DA$ to $H$ with $AH=90$ m. Fences through $E$ and $G$ parallel to $AD$ and fences through $F$ and $H$ parallel to $AB$ are built, enclosing a rectangular plot with four rectangular gardens around the house. The sum of the perimeters of the four gardens is $2016$ m. What is the perimeter, in m, of the house?
