A wall is 4.5 meters long and 3.5 meters high. Find the number of maximum sized wallpaper squares, if the wall has to be covered with only the square wall paper pieces of same size
Answers
Answer:
A wall is 4.5 meters long and 3.5 meters high. The number of maximum sized wallpaper squares = 63 if the wall has to be covered with only the square wall paper pieces of same size
Step-by-step explanation:
A wall is 4.5 meters long and 3.5 meters high
Area of wall = 4.5 * 3.5 = 15.75 m²
To find the maximum sized wall paper we have to find HCF of
4.5 & 3.5 m
4.5 = 0.5 * 9
3.5 = 0.5 * 7
Size of wall paper = 0.5 * 0.5 m
Area of wall paper = 0.25 m²
Number of wall paper requires = 15.75/0.25 = 63
Number of wall paper required = 63
Answer:
Step-by-step explanation:
The number of maximum sized wallpapers can be obtained by dividing the wall area by the area of each square.
Step 1. Finding the area of the wall where length is 4.5meters = 450cm and width is 3.5m= 350cm.
Area is given by length multiplied by width. This is ; 450 *350=157500cm^2
The maximum size of square possible is given by the highest common factor(H.C.F).
H.C.F is obtained by factorization,
450=2*5*5*7
350=2*3*3*5*5
The H.C.F therefore is 2*5^2=50.
Area of each square wallpaper=50*50=2500
number of maximum sized wallpapers =157500/2500=63.
Therefore, the 63 is the number of maximum sized wallpapers.