Question

The width of a rectangular picture is one-half the length. The perimeter of the rectangle is 72 inches. Find the length of the picture.

Answer 1

Given that the width of the rectangular piccture is:

$w=\frac{1}{2}l$

Where "l" is the length of the picture.

You know that the perimeter is:

$P=72\text{ }in$

The formula for calculating the perimeter of a rectangle is:

$P=2l+2w$

Where "l" is the length and "w" is the width.

Therefore, you can substitute the perimeter and the width into the formula, in order to find "l":

$72=2l+2(\frac{1}{2}l)$

Now you can solve for "l":

$72=2l+\frac{2}{2}l$$72=2l+l$$72=3l$$\frac{72}{3}=l$$l=24\text{ }in$

Hence, the answer is:

$l=24\text{ }in$