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