Question

the length of the bottom of the triangle is X. Another more in 7 more than 4 times the length of the bottom of the triangle. The last side is 14 more than the bottom of the triangle. Wright and simplify the expression of the perimeter of the triangle.

Answer 1

The expression for perimeter of triangle is 6x + 21

Solution:

Given that,

Let the length of the bottom of the triangle be "x"

Another side is 7 more than 4 times the length of the bottom of the triangle

Length of another side = 7 + 4x

The last side is 14 more than the bottom of the triangle

Length of last side = 14 + x

The perimeter of triangle is given as:

Perimeter = sum length of length of all 3 sides of triangle

$Perimeter = x + 7 + 4x + x + 14\\\\Combine\ the\ like\ terms\\\\Perimeter = 6x + 7 + 14\\\\Add\ the\ constants\\\\Perimeter = 6x + 21$

Thus expression for perimeter of triangle is 6x + 21