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Chapter 2: Q49. (page 79)

Write a formula to find the length l of the rectangle.

Short Answer

Expert verified

The formula for the length is:

l=P−2w2

Step by step solution

01

Step 1. Given information.

The perimeter of the rectangle is P and w be the width of the rectangle.

02

Step 2. Concept used.

The perimeter of a rectangle is given by the following formula:

P=2l+w

Here l and w be the length and width of the rectangle respectively.

03

Step 3. Determine the formula.

Since,

P=2l+w

Then,

P=2l+2wP−2w=2l

The above equation can write as:

l=P−2w2

04

Step 4. Conclusion.

The formula to find the length of a rectangle is:

l=P−2w2

Here l is the length, P is the perimeter and w is the width of the rectangle.

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