Question

The area of a rectangular paper is 4 - x² then its dimensions are (length and breadth) are:
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Answer 1

Answer:

L= 2+x

B = 2-x

Step-by-step explanation:

area = 4-x^2

factorizing it : 2^2 - x^2

it is a form of a square minus b square = a+b into a-b

here it is (2+x)(2-x)

here 2+x is greater so it would be length (L) and as 2-x is smaller it would be breadth (B)

Answer 2

Dimensions of rectangular paper are (2 + x)  and (2 - x) whose area is 4 - x²

Given : The area of a rectangular paper is 4 - x²

To Find : Paper  dimensions  (length and breadth)

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Solution:

Area of a rectangle = length x breadth

area of a rectangular paper is 4 - x²

=>  length x breadth = 4 - x²

4 can be written as 2²

=>   length x breadth = 2² - x²

Using identity : a² - b² = (a + b)(a - b)

a = 2 , b = x

=> length x breadth = (2 + x)(2  - x)

Hence Dimensions of rectangular paper are (2 + x)  and (2 - x)

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