I GIVE MEDALS! Natalia want to build a rectangular corral (place where animals go outisde with a fence) with the largest possible area for her horses. One side of the corral will be the barn wall. She has 100 m of fencing to build the other 3 sides.
a) Write and expression that expresses the area of the corral as a function of the width of the corral.
b) Find the max area of the corral and the dimentions that give this area.
So the answers are: a) A(x)=x(100-2x) and b) 1250m square (which is 25m by 50m). Can someone please explain how they got these answers? thanks

Question

I GIVE MEDALS! Natalia want to build a rectangular corral (place where animals go outisde with a fence) with the largest possible area for her horses. One side of the corral will be the barn wall. She has 100 m of fencing to build the other 3 sides.
a) Write and expression that expresses the area of the corral as a function of the width of the corral. 
b) Find the max area of the corral and the dimentions that give this area. 
So the answers are: a) A(x)=x(100-2x) and b) 1250m square (which is 25m by 50m). Can someone please explain how they got these answers? thanks