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प्रश्न
In the above question, how many square metres of cloth is required to cover all the display boards? What will be the length in m of the cloth used, if its breadth is 120 cm?
उत्तर
Given, total display boards = 24
Length of display board = 1 m + 50 cm
= 1 m + `50/100` m = 1 m + `1/2` m .....[∵ 1 m = 100 cm]
= `((2 + 1)/2)` m
= `3/2` m
Breadth of display board = 1 m
Now, area of one display board = Length × Breadth
= `1 xx 3/2 = 3/2` sq.m
∴ Area of 24 display boards = 24 × Area of one board = `24 xx 3/2` = 36 sq.m
Hence, 36 sq.m cloth is required to cover all the display boards.
Now, breadth = 120 cm .....[Given]
∵ 1 cm = 100 cm
∴ 1 cm = `1/100` m
⇒ 120 cm = `120/100 = 6/5` m
Let length = `l` m
∵ Area of display board = Length × Breadth
36 = `l xx 6/5`
⇒ `(36 xx 5)/6 = l xx 6/5 xx 5/6` ......[Multiply both sides by `6/5`]
⇒ `l` = 30 m
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