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
