An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is ( y + 4)Another side is 3 less than 2 times the length of the bottom of the triangle. The last side is 2 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is X . Another side is 5 more than 2 times the length of the bottom of the triangle. The last side is 15 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Simplified answer is 6x+22 ( (y+4) + 2(y+4)-3 + (y+4)+2 is 4y+15 so 4y+15 is wrong)
To write and simplify an expression for the perimeter of the triangle, we need to find the lengths of all three sides of the triangle and then add them together.
Given:
Length of the bottom of the triangle = (y + 4)
One side is 3 less than 2 times the length of the bottom
Other side is 2 more than the bottom
Let's calculate the lengths of the three sides:
1. Length of the bottom of the triangle: (y + 4)
2. One side is 3 less than 2 times the length of the bottom: 2 * (y + 4) - 3 = 2y + 8 - 3 = 2y + 5
3. Other side is 2 more than the bottom: (y + 4) + 2 = y + 6
Now, we can write the expression for the perimeter by adding the lengths of all three sides:
Perimeter = (y + 4) + (2y + 5) + (y + 6)
Simplifying the expression:
Perimeter = y + 4 + 2y + 5 + y + 6
= (y + y + y) + (4 + 5 + 6)
= 3y + 15
Therefore, the simplified expression for the perimeter of the triangle is 3y + 15.
u: mom helped but me no understand
teacher: ok...
(y+4) + 2(y+4)-3 + (y+4)+2
Now just simplify