Chapter ISG, Problem 8.1STP

To determine

To find the expression of width

Answer to Problem 8.1STP

  $2a+5$ is correct option

Explanation of Solution

Given information:

Perimeter= $6a{b}^2+4a-4$

Length= $3a{b}^2-7$

Formula used:

Perimeter=2( length + breadth )

Calculation:

Substituting values,

Perimeter= $6a{b}^2+4a-4$

Now,

2( length + breadth )= $6a{b}^2+4a-4$

Dividing by 2,

( length + breadth )= $\frac{6a{b}^2+4a-4}{2}$

  $3a{b}^2-7$ + breadth = $3a{b}^2+2a-2$

breadth = $3a{b}^2+2a-2-3a{b}^2+7$

Solving,

  = $2a+5$

Hence, $2a+5$ is correct option.