If the perimeter of a rectangle is 46 inches, then the relationship between the length l and the width w is given by the equation . What is the length when the width is 10 inches?

Question

If the perimeter of a rectangle is 46 inches, then the relationship between the length l and the width w is given by the equation  . What is the length when the width is 10 inches?

Quizplus · Accepted Answer

The equation given in the prompt is:

$2(l+w) = 46$
Simplifying the equation: 
$l+w = 23$

We are given that the width is 10 inches, so we can substitute w = 10 in the above equation:

$l+10 = 23$
$l = 13$

Therefore, the length is 13 inches when the width is 10 inches. The correct answer is (C).

If the Perimeter of a Rectangle Is 46 Inches, Then