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Q34.

Expert-verified
Found in: Page 127

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

Geometry Find the value of x for the given triangle, rectangle or square.Perimeter = 22 units

The value of x is 8.

See the step by step solution

Step-1 – Given

Perimeter =22 units, length of each sides are $x,\text{}x+1,\text{}5.$

Step-2 – To determine

We have to find the value of the x for the given triangle.

Step-3 – Calculation

The equation of the perimeter will be,

$x+\left(x+1\right)+5=22$

$\begin{array}{l}x+\left(x+1\right)+5=22\\ x+x+1+5=22\\ 2x+6=22\text{}\left[\text{combine like terms}\right]\\ 2x+6-6=22-6\text{}\left[\text{subtract 6 from each side}\right]\\ 2x=16\\ 2x÷2=16÷2\text{}\left[\text{divide each side by 2}\right]\\ x=8\end{array}$

Hence, the required value of x is 8.