Question

The dimensions of a rectangle are:

Answer 1

The dimensions of a rectangle are -3x - 2 and 10x - 9 The simplified expression for the rectangle's perimeter is 14x – 22

Solution:

Given that dimensions of a rectangle are -3x – 2 and 10x – 9

Let’s say width of the rectangle = w = -3x – 2

And length of the rectangle = l = 10x – 9

The formula for perimeter of rectangle is given as:

Perimeter of rectangle = 2 (l + w)  

By substituting the length and width values we get,

=> Perimeter of rectangle = 2 [(10x – 9  ) + ( -3x – 2 )]

On simplification we get,

= 2 (10x – 9 – 3x – 2 )  = 2 (7x – 11)  

=> Perimeter of rectangle = 14x – 22

Hence simplified expression for the rectangle's perimeter having dimensions as -3x - 2 and 10x – 9 is 14x – 22