Perimeter refers to the distance around a figure in this case a rectangle. On this problem is given the perimeter of the rectangle and its asked to find the value of x.
First of all, you should know that the formula to find the perimeter of a rectangles is P=2b+2h where b is the base and h the height of the rectangle.
P=2b+2h Substitute the given values
30=2(3x)+2(2x) Associate the terms
30=6x+4x Combine like terms
30=10x Divide in both sides by 10 to isolate x
3=x
The value of x for the rectangle is 3 units.
I did the math on a word document; hopefully, the steps help. Remember to use a graphic calculator to solve it.
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:
x + y = 25 and 4x + 3y = 84
The first one would refer to the number of tiles and the second one to number of edges.
We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with x = 25 - y which would look like this:
4 (25 - y) + 3y = 84
Solve.
100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16
Then:
x = 25 -y
x = 25 - 16
x = 9
So the answer is that there are 9 square tiles and 16 triangular tiles.
Answer:
4
Step-by-step explanation:
