Find the side of the triangle:?

Question

The perimeter of an equilateral triangle is 7 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. ---Find the side of the triangle & show your work.

Answer 1

Let the sides of the triangle = x
Let the sides of the square = y

Since the triangle is an equilateral triangle, the perimeter is x+x+x, which is 3x.

The same for the square: the perimeter is y+y+y+y or 4y

Since the side of the triangle, x, is 5 in. longer than the side of the square, y, we get:

x=y+ 5 inches, or just: x=y+5

We also know that the perimeter of the triangle, 3x, is 7 more than the per. of the square, 4y, so its: 3x=4y+7

Now that is our equation that we solve. We know what x is : y+5 so we plug that in and solve for y to get:

3(y+5)=4y+7
3y+15=4y+7 ---------distribute the 3
15=y+7 ----------------subtract 3y from both sides
8=y ----------------------subtract 7 from both sides

Now we plug in what we have for y to the equation x=y+5 to get x:

x=y+5
x=8+5
x=13

So the side of the triangle is 13 inches.

Answer 2

Let each side of the square be x inches.Therefore its perimeter is 4x inches
each side of the triangle is x+5 inches.Hence its perimeter is 3(x+5) or 3x+15 inches
jAccording to the problem
3x+15=4x+7
=>3x-4x=7-15 =>x=8 inches therefore the side of the square is 8 inches and side of the triangle is 13 inches

Answer 3

e = side of triangle, s = side of square.

Perimeter of the triangle = 3e (3 equal sides)
Perimeter of the square = 4s (4 equal sides)

perimeter of triangle = 7 more than that of the square
3e = 7 + 4s

side of triangle = 5 more than side of square
e = 5 + s

From here you have a pair of equations. I would recommend using substitution:

3(5 + s) = 7 + 4s
15 + 3s = 7 + 4s
8 = s (side of square)

now, plug 8 = s into one of the equations. Let's use the second one:

e = 5 + s
e = 5 + 8
e = 13

The side of the triangle is 13 inches.

Answer 4

7*3+5

Answer 5

as quickly as you have an usual 3-sided triangle you may come to a determination to play purely 2 aspects before everything. Or, maybe even one part before everything, and artwork your way as much as two! yet while it has 3 aspects then that third part would be there for once you have gotten gifted on the two aspects. My suggestion is to get a three-sided one! we could continuously project ourselves, Fr Dougal, musn't we? there's a reliable lad....;)

Answer 6

3x=4(x-5)+7
so 3x=4x-20+7
-x=-13
or x=13 is the length of each side of the triangle and, therefore, 8 is the length of each side of the square.

Answer 7

3a=4k+7
a=k+5

3k+15=4k+7

k=8 (square side)

a=13 (triangle side)