Question

Part A) Julio makes a scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy . The scale of his drawing is 1 inch:4 feet. (The length is 4 1/2 and the width is 3 3/8)

What is the actual are of Julio's kitchen floor?

Part B) Julio makes a scale drawing of part of the kitchen wall to design a tile pattern. He will use gray tiles and white tiles to form the pattern shown. The length of each square in the drawing represents 1/2 foot on the actual kitchen wall. (There are 14 gray tiles and 10 white tiles)

If Julio uses 2-inch by 2-inch tiles, how many tiles of each color will he need?

Answer 1

Sample response: Julio divided 6 whole parts into groups of 2 instead of dividing them into groups of

1

2

which would make the quotient 12, not 3.

Explanation:

Answer 2

part A)
we know that
scale ----------> inch/4 feet=0.25 in/ft

[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]

for length --------> 4 1/2 in ---------> 4.5 in (scale drawing)
[actual]=[4.5]/[0.25]=18 ft

for width ---------> 3 3/8 in ---> (3*8+3)/8 ---> 27/8 in (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft

the answer part A is
length actual kitchen floor is 18 ft
width actual kitchen floor is 13.5 ft

Part B)
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²

find how many tiles 2 in by 2 in of each color will he need
1ft²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles

white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles

the answer Part B) is
126 gray tiles
90 white tiles