a pool measuring 14 meters by 24 meters is surrounded by a path of uniform width. if the area of the pool and path combined is 1496meters wha tis the width of the path?

Question

anonymous · Answer

since you have the total area of the pool and the path combined, and enough information to find the area of the pool, a good place to start this problem would be to find the area of the pool and subtract it from the total area to find the area of the path.

anonymous · Answer

from here it might be helpful to draw a diagram, a small rectangle (the pool) inside a large rectangle (the surrounding path).

anonymous · Answer

label the measurements that you know along the sides of the pool, and call the width of the path x. this would make one side 14+2x and the other side 24+2x.

anonymous · Answer

ok what would be the answer

anonymous · Answer

how would i find the x

anonymous · Answer

well, you have the total area of the big rectangle, and both lengths in terms of x

anonymous · Answer

could you solve it for me so the width would be?

anonymous · Answer

you can solve it, it's easy from here.

anonymous · Answer

so what do i fill in for x

anonymous · Answer

x is the width of the path. you want to find out what that is. right now you have an equation that is (one side)*(other side)=total area. you have both the sides in terms of x, and the total area is given in the question. all you have to do from there put all the numbers on one side of the equation and have one x on the other side.

anonymous · Answer

do i add or multiply the sides

anonymous · Answer

multiply. it's the equation for the area of a rectangle, which is length times breadth. you only add the sides together to find perimeters.

anonymous · Answer

i cant get it

anonymous · Answer

what specifically are you getting stuck on?

anonymous · Answer

hello?