Question

The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The

perimeter is 141, What is the length of the base?

Answer 1

`Base = 57`

Explanation:

Given

`Length = 2x + 4`

`Base = 3x`

`Perimeter = 141`

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

`Perimeter = 2*Length + Base`

`141 = 2 (2x + 4) + 3x`

`141 = 4x + 8 + 3x`

Collect Like Terms

`4x + 3x = 141 - 8`

`7x = 133`

Divide both sides by 7

`x = 19`

To get the base, we substitute 19 for x in
`Base = 3x`

`Base = 3 * 19`

`Base = 57`