The longer side of a parallelogram is 6 meters longer than the shorter side. The perimeter is 44 meters. What is the length of the longer side?

Respuesta :

Let the shorter side be
[tex]x[/tex] metres

The the longer longer side is

[tex]x +6 [/tex]meters

The perimeter is the distance around the figure.

[tex]44= x +x+ (x+6) + (x+6)[/tex]

This implies that

[tex]44= x +x +x+x+6 + 6[/tex]

[tex]44=4x+12[/tex]

Group like terms

[tex]44-12=4x[/tex]

[tex]32=4x[/tex]

Divide both side by 4 to get

[tex]8=x[/tex]

[tex] <B> The longer side is</B> [/tex]

[tex]8+6=14[/tex] meters