Question

Manoj wants to paste wallpaper on wall of
his room. The wallis 4 m 50 cm in length and
3 m 50 cm in height. But the wall should be
covered completely only by square pieces
of wallpaper having same size. What is
the number of maximum sized wallpapers
needed to cover the wall​

Answer 1

Answer:

1575

explanation:

Length if wall: 4 m 50 cm

=4.5 m

height if wall : 3m 50 cm

=3.5m

:. total surface of wall = height x length

= 4.5×3.5

=15.75

:. total wallpaper square pieces are required = 1575

Answer 2

The number of maximum sized wallpapers  needed to cover the wall is 63

Solution:

The wall is 4 m 50 cm in length and  3 m 50 cm in height

Length = 4 m 50 cm

1 m = 100 cm

Length = 400 cm + 50 cm = 450 cm

Length = 450 cm

Height = 3 m 50 cm = 300 cm + 50 cm = 350 cm

Height = 350 cm

The number of maximum sized wallpapers  needed to cover the wall​ is the greatest common factor of 450 and 350

FIND GCF OF 450 AND 350

The factors of 350 are: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The factors of 450 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Then the greatest common factor is 50

Find area of square shaped wallpaper:

$Area\ of\ square = 50 \times 50 = 2500\ cm^2$

Find area of wall:

$Area\ of\ wall = 450 \times 350 = 157500\ cm^2$

Find number of maximum sized wallpapers

$\text{ number of maximum sized wallpapers } = \frac{ 157500}{2500} = 63$

Thus the number of maximum sized wallpapers  needed to cover the wall is 63

Learn more:

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

https://brainly.in/question/9039100

A wall 9.68m long and 6.2m high is covered with rectangular tiles of size 44 cm by 20cm. Find the total cost of of tiles at the rate 18.50/- per tile

https://brainly.in/question/1876495