Question

A stained glass window has an area of 900 square inches.

a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window?

b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?

Answer 1

a. 60

b. 25

Explanation:

Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.

The area A of the rectangular piece of length l and width w may be stated as

A = l * w

Hence given that

- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window

= 900/(3 * 5)

= 60

- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window

= 900/(6 * 6)

= 25

Answer 2

a. 60 pieces

b. 25 pieces

Explanation:

Hi, to answer this question we have to calculate the area of each rectangular stained glass.

Area = width x length

a.

5 x 3 = 15 square inches

Now we have to divide the area of the window by the area of each stained glass.

900/ 15 = 60 pieces

Same process for b

b.

6x6 = 36 square inches

900/36= 25 pieces

Feel free to ask for more if needed or if you did not understand something.