Respuesta :
Answer:
[tex]192 feet^{2}[/tex]
Step-by-step explanation:
Given : A designer makes a model of a patio using 1/2 inch square title=4 square feet.
To Find: What area represented by the 8 *6 model
Solution:
No. of tiles in 8 *6 model = 48 tiles
Since each tile measures [tex]\frac{1}{2} inches^{2}[/tex]
So, area covered by 48 tiles = [tex]\frac{1}{2} *48 inches^{2}[/tex]
=[tex]24 inches^{2}[/tex]
Since [tex]\frac{1}{2} inches^{2} = 4 feet^{2} [/tex]
So, [tex]1 inches^{2} = 4*2 feet^{2} [/tex]
[tex]1 inches^{2} = 8 feet^{2} [/tex]
Since [tex]1 inches^{2} = 8 feet^{2} [/tex]
So, [tex]24 inches^{2} = 24*8[/tex]
[tex]24 inches^{2} = 192 feet^{2}[/tex]
Hence area represented by the 8 *6 model is [tex]192 feet^{2}[/tex]