Answer:
Length = 10 inches
width = 3 inches
Step-by-step explanation:
Let the width of the rectangle = 'x' inches
Three times width = 3 * x = 3x
1 more than three times the width = 3x + 1
The length of the rectangle = (3x + 1) inches
Perimeter of rectangle = 2*length +2*width
2*(3x +1) + 2*x = 26 inches
open the parenthesis by multiplying each term of (3x +1) by 2.
2*3x + 2*1 + 2x = 26
6x + 2 + 2x = 26
Combine like terms,
6x +2x + 2 = 26
8x + 2 = 26
Subtract 2 form both sides,
8x = 26 -2
8x = 24
Divide both sides by 8,
x = 24 ÷ 8
[tex]\boxed{\bf x = 3}[/tex]
Width = 3 inches
Length = 3*3 + 1
= 9 + 1
= 10 inches
Length = 10 inches & width = 3 inches
