Question

“A rectangle has a width of 8 inches and a perimeter of 30 inches. What is the perimeter, in inches, of a similar rectangle with a width of 12 inches?"

Answer 1

To find the perimeter of a similar rectangle with a width of 12 inches, we need to find the length of the rectangle. The length can be found using the given width and perimeter values by setting up a proportion. The perimeter of the similar rectangle is then calculated using the formula 2 * (length + width).

Step-by-step explanation:

To find the perimeter of a similar rectangle with a width of 12 inches, we need to find the length of the rectangle. Since the width is 8 inches and the perimeter is 30 inches, we can set up a proportion:

8 inches / 30 inches = 12 inches / x inches

Cross-multiplying, we get 8x = 360. Dividing both sides by 8, we find that x = 45.

So, the length of the rectangle is 45 inches. The perimeter of the similar rectangle is then calculated as:

2 * (length + width) = 2 * (45 + 12) = 114 inches.

Answer 2

45 in

Step-by-step explanation:

8/30 = 12/x

(30*12)/8 = 360/8

= 45 in