Question

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20.3 20.3 inches. Write an equation to find the width of the frame, x

Answer 1

Answer:

$P = 2x+2y$   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

$P-2y = 2x$

$\frac{P-2y}{2} =x$

And replacing we got:

$x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in$

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

$P = 2x+2y$   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

$P-2y = 2x$

$\frac{P-2y}{2} =x$

And replacing we got:

$x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in$

And the width for this case would be 15.8 in