Answer:
The answer would be 5 inches for the width and 2 inches for the length of the rectangle.
Explanation:
The first step would be to write an equation:
2x+ 2(x-3) = 14 inches
Next do the distributive property:
2x+ 2(x-3) = 14 inches ---> 2x+ 2x-6 = 14 inches
After that, combine like terms:
2x+ 2x-6 = 14 inches ---> 4x-6 = 14 inches
Then, add 6 to both sides:
4x-6 = 14 inches ---> 4x-6+(6) = 14 inches+(6) ---> 4x = 20 inches
Following this, divide both sides by 4:
4x = 20 inches ---> 4x÷(4) = 20 inches÷(4) ---> x = 5 inches
You now have the side length of the rectangle's width.
Lastly, find the length.
5 - 3 = 2 inches
To double-check, check with the equation.
2x+ 2(x-3) = 14 inches ---> 2(5)+ 2(5-3) = 14 inches --->
2(5) +2(2) = 14 inches ---> 10+4 = 14 inches ---> 14=14 inches
The answer is correct.