Question

A rectangular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The width of the border is equal and was made out of 7 square feet of clear glass. What is the width of the border?

Answer 1

To find the width of the border, calculate the area of the stained glass window and subtract it from the total area of the larger rectangle (including the border). The width of the border is 11.25 feet.

Step-by-step explanation:

To find the width of the border, we first need to calculate the area of the stained glass window. The area of a rectangle is found by multiplying its length and width. In this case, the stained glass window has a length of 2 feet and a width of 4 feet, so its area is 2 x 4 = 8 square feet.

Next, we subtract the area of the stained glass window from the total area of the larger rectangle (including the border). The problem states that the clear glass border is made out of 7 square feet of clear glass. So, the total area of the larger rectangle (including the border) is 8 + 7 = 15 square feet.

Since the dimensions of the larger rectangle are twice that of the stained glass window, we can divide the total area of the larger rectangle by 4 to find the area of the stained glass window. In this case, 15 divided by 4 is 3.75 square feet.

To find the width of the border, we subtract the area of the stained glass window (3.75 square feet) from the total area of the larger rectangle (15 square feet). So, the width of the border is 15 - 3.75 = 11.25 feet.