MATH SOLVE

4 months ago

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

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