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The length of a rectangle having a perimeter of 22 cm is 7 cm. What will be its breadth?

User Tarin
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Answer:

To summarize:

- The length of the rectangle is 7 cm.

- The perimeter of the rectangle is 22 cm.

- The breadth of the rectangle is 4 cm.

Explanation:

To find the breadth of a rectangle with a length of 7 cm and a perimeter of 22 cm, we can use the formula for the perimeter of a rectangle.

The formula for the perimeter of a rectangle is given by P = 2(length + breadth), where P represents the perimeter, length is the length of the rectangle, and breadth is the breadth of the rectangle.

In this case, we are given that the length of the rectangle is 7 cm and the perimeter is 22 cm. Therefore, we can set up the equation as follows:

22 = 2(7 + breadth)

We can simplify this equation by performing the operations inside the parentheses:

22 = 2(7 + breadth)

22 = 14 + 2breadth

Next, we can isolate the term with the variable by subtracting 14 from both sides of the equation:

22 - 14 = 14 - 14 + 2breadth

8 = 2breadth

To solve for breadth, we can divide both sides of the equation by 2:

8/2 = 2breadth/2

4 = breadth

Therefore, the breadth of the rectangle is 4 cm.

To summarize:

- The length of the rectangle is 7 cm.

- The perimeter of the rectangle is 22 cm.

- The breadth of the rectangle is 4 cm.

User RasMason
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7.2k points