Chapter 4, Problem 4STP

To determine

To write: an expression for the perimeter of the rectangle.

Answer to Problem 4STP

The correct option is $\left(\text{G}\right)18b+2.$

Explanation of Solution

Given:

F- $18b+4$

G- $18b+2$

H- $16b+2$

J- $9b+1$

Length $=4b+2$

Breadth $=56-1$

Calculation:

Perimeter of rectangle $=2\left(length+breadth\right).$

Perimeter of rectangle=

  $\begin{array}{l}2\left[\left(4b+2\right)+\left(5b-1\right)\right]\\ =2\left[4b+2+5b-1\right]\\ =2\left[9b+1\right]\\ =18b+2\text{ Apply distributive property}\end{array}$

Conclusion:

Hence, the correct option is $\left(\text{G}\right)18b+2.$