Q:

 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.

Accepted Solution

A:
length of the bottom of the triangle = (y+4)
Another side is 3 less than 2 times the length of the bottom of the triangle = 2(y+4)-3
last side is 2 more than the bottom of the triangle = (y+4) + 2
perimeter of triangle = sum of all the sides of triangle
So, the expression for perimeter of this triangle is;
P = (y+4) + 2(y+4)-3 + (y+4)+2
Now, simplify this;
P= y+4+2y+8+y+4+2
P=4y+18