Question

A cylinder of curved surface area 1,250 m2 is formed from a rectangular metallic
sheet. Find the dimensions of the rectangular sheet if its length is double its
breadth.

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Answer 1

Answer:

Dimensions of rectangular sheet are L=50m, B=25m

Step-by-step explanation:

Since cylinder is prepared from rectangular sheet,

CSA of cylinder=Area of rectangle

so, 1250=LB

2B.B=1250. (Since length is double breadth, L=2B)

2B²=1250

B²=1250/2=625

B=√625=25

so, L=2B=2(25)=50

So, dimensions of rectangular sheet are L=50m, B=25m

Answer 2

Answer:

Length of the rectangular sheet is 50 m and the breadth of the rectangular sheet is 25 m.

Step-by-step explanation:

Given :-

• A cylinder of curved surface area 1,250 m² is formed from a rectangular metallic sheet.
• The length of the rectangle is double of its breadth.

To find :-

• The dimensions of the rectangular sheet.

Solution :-

CSA of cylinder = Area of rectangular sheet = 1250 m²

Let the breadth of the rectangular sheet be x m.

★ The length is double of its breadth.

Then,

• Length = 2x m

According to the question,

length × breadth = 1250

→ 2x×x = 1250

→ 2x²= 1250

→ x² = 1250/2

→ x² = 625

→ x = √625

→ x = 25

Then,

• Breadth of the rectangular sheet = 25 m
• Length of the rectangular sheet = 2×25 = 50 m

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