Question

a cylinder of curved surface area 1250 square is form from a rectangular metal sheet find the dimensions of the rectangular sheet if it's length is doubled its breadth

Answer 1

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Answer 2

Answer:

The length of the rectangle is 50 units and the width of the rectangle is 25 units.

Step-by-step explanation:

It is given that the length of the rectangle is doubled its breadth.

Let the breadth of the rectangle be x and the length of the rectangle be 2x.

Area of rectangle is

$A=length \times breadth$

$A=2x\times x=2x^2$

The cylinder is form from a rectangular metal sheet. It means the area of square and the curved surface area of rectangle are same.

$2x^2=1250$

$x^2=625$

$x=25$

The value of x is 25.

$length=2x=2\times 25=50$

$breadth=x=25$

Therefore the length of the rectangle is 50 units and the width of the rectangle is 25 units.