SOLUTION: the area of the two side of a walls.if a wall has given and the area of the two end walls has given and the area of the floor has given.find the dimensions of the room

Question 250148: the area of the two side of a walls.if a wall has given and the area of the two end walls has given and the area of the floor has given.find the dimensions of the room
Found 2 solutions by solver91311, richwmiller:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I presume by the phrase "has given" you mean "is given." I also have to presume that the room is in the shape of a right rectangular prism. (otherwise the problem cannot be solved with the information given).

Let represent the length of the floor. Perforce is also the horizontal dimension of one pair of walls. Let represent the width of the floor, and then must also represent the horizontal dimension of the other set of walls. Let represent the height of the room which is the vertical dimension of all four walls.

Let represent the area of the first pair of walls. Let represent the area of the other pair of walls. And let represent the area of the floor. Since each of these surfaces is a rectangle, we know the area is calculated by multiplying the length times the width, so:

1.

2.

3.

Solve 1 for and solve 2 for

4.

5.

Substitute the RHS expression from 5 into 4:

6.

Substitute the RHS expression from 6 into 3:

From here using the value of you just determined, you can calculate using 5, and then using the value of , you can calculate using 4.

And please take a class in English before you post again. Your question was nearly undecipherable gibberish.

John

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
That is cute. You didn't provide any info but here is the answer that I worked out.
And see below for the steps involved.

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