a rectangular garden measuring 50 m * 50 m around the garden will be installed tiles measuring 20 cm * 20 cm if one box of tiles contains 25 tiles and the price per box is 45.000.a. how many squares are needed to surround the garden what is the total cost if the perimeter of the garden to be tiled is 1.5 m
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Solution:
perimeter of rectangle = 2(l+b) units
here , l=50 m = 5000 cm
b=50 m= 5000 cm
so,
perimeter of rectangle = 2(50+50)m
=200 m = 20,000 cm
let 'n' be the number of titles
n × length of the tiles = perimeter of the rectangle
n×20 =20,000 (in cm)
[tex]n=\frac{20,000}{20}\\ \\n=\frac{2000}{2}\\ \\n=1000[/tex]
∴1000 square tiles is required to surround the garden
45,000 per 25 tiles
[tex]25 tiles = Rs 45,000\\1 box=25 tiles\\\\[/tex]
150 cm is to be tiled
so n X 20 cm = 150 cm
[tex]n=\frac{150}{20}=7.5[/tex]
∴7.5 tiles is required to tile 1.5 m or 150 cm
let 'x' be the total cost required to buy 7.5 tiles
[tex]\frac{45,000}{25}= \frac{x}{7.5}[/tex]
[tex]25x=7.5X45,000\\\\25x=3,37,500\\\\x=\frac{3,37,500}{25}[/tex]
[tex]x=\frac{3,37,500}{25}=\frac{67500}{5}=13,500[/tex]
The total cost if the perimeter of the garden to be tiled is 1.5 m is
Rs 13,500