Chapter 10.3, Problem 35E

To determine

To solve the equation.

Answer to Problem 35E

  $x=5.9$ cm

Explanation of Solution

Given information: Perimeter=22cm, $length=\sqrt{6x-5}cm$ and $breadth=4cm$

Formula Used: $perimeter=length\times breadth$

Calculation:

  $perimeter=length\times breadth$

  $22=\sqrt{6x-5}\times 4$

Now, squaring both sides

  ${22}^2={\left(4\sqrt{6x-5}\right)}^2$

So, simplify

  $484=16\left(6x-5\right)$

Now,

  $6x-5=\frac{484}{16}$

So,

  $6x-5=\frac{121}{4}$

Now,

  $6x=\frac{121}{4}+5$

So, simplify

  $6x=\frac{141}{4}$

Hence,

  $x=\frac{141}{24}$

Now,

  $x=5.9$