A library wants to add a rectangular window made of small glass squares. The window space is 9 feet long and 6 feet wide. Each small glass square has sides that are 1 foot long. How many small glass squares are needed to make the window?
To find the number of small glass squares needed to make the window, we need to calculate the area of the window and divide it by the area of each small glass square.
The area of the window is found by multiplying its length by its width:
Area of window = Length × Width = 9 feet × 6 feet = 54 square feet.
The area of each small glass square is found by multiplying the length of one side by itself (since all sides are equal):
Area of each small glass square = Side × Side = 1 foot × 1 foot = 1 square foot.
Now, we can divide the area of the window by the area of each small glass square to find the number of small glass squares needed:
Number of small glass squares = Area of window ÷ Area of each small glass square
= 54 square feet ÷ 1 square foot
= 54 squares.
Therefore, 54 small glass squares are needed to make the window.
Each glass square costs $2. How much will the window cost?
Since we know that there are 54 small glass squares needed to make the window, and each square costs $2, we can calculate the total cost of the window by multiplying the number of squares by the cost per square:
Total cost of the window = Number of small glass squares × Cost per square
= 54 squares × $2 per square
= $108.
Therefore, the window will cost $108.