Math, asked by eminemifyme2452, 1 year ago

In a rectangle the length is increased by of the original length. by what proportion should the width be reduced so that the area will be the same?

Answers

Answered by SahilAgarwal
7
1:1.
If length is increased by x times then width should be reduced by x times so as the area remains the same.
Answered by PoojaBurra
0

Given: In a rectangle the length is increased by of the original length.

To find: The proportion with which the width should be reduced so that the area will be the same.

Solution:

Let the length be increased by x. The area of a rectangle is calculated by the following formula.

A = l * w

Here, A is the original area of the rectangle, l is the length and w is the width. Now, if the length was increased by x and the area remained the same, the equation can be written as follows.

A = (l+x) * w'

Here, w' is the new width.

w' = \frac{A}{l+x}

Therefore, the proportion with which the width should be reduced so that the area will be the same is A/(l+x).

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