Question

The expression $15x+11$ represents the perimeter of the trapezoid. What is the length of the fourth side? A trapezoid. The shorter base is labeled 3 x plus 4. The legs are labeled 2 x plus 3 and 4 x minus 1. The length is .

Answer 1

Answer:

$6x+5$

Step-by-step explanation:

Given that:

Perimeter of the trapezoid = $15x+11$

Shorter base = $3x+4$

One leg = $2x+3$

Second base = $4x-1$

To find:

The length of fourth Side = ?

Solution:

Let us have a look at the perimeter of a trapezoid.

Perimeter = Sum of all the sides

Let the fourth side = $y$

Using the formula and putting the given values:

$15x+11=3x+4+2x+3+4x-1+y\\\Rightarrow 15x+11=9x+6+y\\\Rightarrow y = 15x-9x+11-6\\\Rightarrow y =6x+5$

Fourth side is: $6x+5$