Question

I NEED HELP PLEASEEE

1) The length of rectangle ABCD is x+3 units and its area is x²+3x units. Find its breadth.

2) A machine fixes 25 stoppers on bottles in a minute. How many hours will it take to fix stoppers on 2250 bottles?​

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Area of a rectangle is given by :

`\qquad \sf  \dashrightarrow \: area = l * b`

[ l = Length, and b = width ]

`\qquad \sf  \dashrightarrow \: x {}^(2) + 3x = (x + 3)(b)`

`\qquad \sf  \dashrightarrow \: b = \frac{ {x}^(2) + 3x }{x + 3}`

`\qquad \sf  \dashrightarrow \: b = \frac{ {x(}x^{} + 3) }{x + 3}`

`\qquad \sf  \dashrightarrow \: b = x`

Next problem ~

`\textsf{Number of stoppers fixed per minute = 25 }`

`\textsf{1 stopper is fixed in = 1/25 minutes}`

`\textsf{2250 stoppers are fixed in = 1/25 × 2250 = 90 minutes }`

Now, convert it into hours~

`\qquad \sf  \dashrightarrow \:60 \: \: min = 1 \: \: hr`

`\qquad \sf  \dashrightarrow \: 1 \: \: min = (1)/(60) \: \: hrs`

`\qquad \sf  \dashrightarrow \: 90 \: \: min = (1)/(60) * 90 \: \: hrs`

`\qquad \sf  \dashrightarrow \: 90 \: \: min = (3)/(2) \: \: hrs`

`\qquad \sf  \dashrightarrow \: 90 \: \: min = 1.5 \: \: hrs`

So, in total it would take 1.5 hours to fix stoppers on 2250 bottles.