Chapter 1, Problem 12MCQ

To determine

To write and evaluate an expression to find the perimeter of the rectangle.

Answer to Problem 12MCQ

  $74$

Explanation of Solution

Given:

Two sides of a rectangle are given as $w$ and $4w-3$

Where $w=8cm$

Concept Used:

The perimeter of a rectangle whose length is $L$ and breadth is $B$ is given as

  $P=2\left(L+B\right)$

Calculation:

The expression for the perimeter of the rectangle is as,

  $\begin{array}{c}P=2\left[w+\left(4w-3\right)\right]\\ =2\left[5w-3\right]\\ =10w-6\end{array}$

Now to find the perimeter of rectangle , substitute the value of $w$ in the above expression as,

  $\begin{array}{c}P=10w-6\\ =10\left(8\right)-6\\ =80-6\\ =74\end{array}$

Thus, the perimeter of the rectangle becomes,

  $74$