Question

Find the width of a window whose length is 12 feet and whose proportions are the same as a window that has a length of 4 feet and a width of 3

feet.
O w= 4 feet
O w= 9 feet
O w= 36 feet
O w = 3 feet

Answer 1

The width of the window that is proportional to a 4 foot by 3 foot window, but with a length of 12 feet, is 9 feet. This is found by using a proportion based on the lengths and widths of the windows. Therefore correct option is B

Step-by-step explanation:

To find the width of a window whose length is 12 feet and which has the same proportions as a window that has a length of 4 feet and a width of 3 feet, we need to set up a proportion. The proportion of the width to the length should remain constant, since they are similar figures. Therefore, we can create two ratios: length of the first window to its width (4 feet to 3 feet) and length of the second window to its unknown width (12 feet to w feet).

So the proportion will be:

4/3 = 12/w

Cross-multiply to solve for 'w':

4w = 3 × 12

4w = 36

Now, divide both sides by 4 to solve for 'w'.

w = 36 / 4

w = 9 feet

Therefore, the width of the window is 9 feet.