220k views
5 votes
the perimeter of a rectangular window is 634 inches if the length of the window is 205 inches what is the width of the window

2 Answers

3 votes

Final answer:

The width of the rectangular window, given a perimeter of 634 inches and a length of 205 inches, is calculated to be 112 inches using the perimeter formula for rectangles.

Step-by-step explanation:

To calculate the width of a rectangular window given the perimeter and length, we use the formula for the perimeter of a rectangle which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

The perimeter of the window is 634 inches, and the length is 205 inches. Plugging these values into the formula, we get:

634 = 2(205) + 2w

634 = 410 + 2w

To solve for w, we subtract 410 from both sides:

634 - 410 = 2w

224 = 2w

Now we divide both sides by 2 to find the width:

112 = w

Therefore, the width of the window is 112 inches.

User Sumeet Gavhale
by
7.9k points
6 votes
So you first divide 634 by 2 to get the length of one length and one width.
634/2=317
Then you subtract 205, the length, from the length and the width(317).
317-205=112 inches. Yay!

User Johnkol
by
7.7k points