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Gus plans to install a handrail around a skating rink the rink forms a 40 meter by 20 meter rectangle how many meters of handrail does Gus need so here's what we know about this skating rink it's a 40 meter by 20 meter rectangle so let's draw the skating rink that might help us to visualize and we know that one side length is 40 meters and another side length is 20 meters so Gus definitely needs to put some handrails 40 meters here and 20 meters here but that is not enough as somebody who doesn't know how to skate I very much hope Gus puts handrail on this length and this length also he needs to put the handrails all the way around the outside or what we could call the perimeter of the shape the entire distance around the outside because the skating rink is a rectangle we know that opposite sides are equal so if this length is 40 meters up here then this link down here must also be 40 meters and we can do the same thing with 20 if we have 20 over here then the length across must also be 20 meters so now we can figure out the entire amount of handrail Gus needs the amount of meters he needs to buy to put around the skating rink for this first side here he needs 40 meters plus to go down this side he'll need another 20 meters of handrail going across the bottom of the rain Killiney and another 40 meters of handrail and then going up the side he'll need another 20 meters of handrail so we can add these to find the total amount he needs 40 plus 20 is 60 then 60 plus 40 plus 40 is a hundred and a hundred plus 20 more is 120 meters so to go the entire distance around the outside of the skating rink or the perimeter of the skating rink with handrail gusts we'll need a hundred and twenty meters of handrail