Question

in the figure length of the rectangle is (root 2+1) meters and it's breadth is (root 2-1) meters find area
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Answer 1

Answer:

Given:

length = root2 + 1

breadth = root 2 - 1

To Find:

area of rectangle

Proof:

area of rectangle = length × breadth

=> (root 2 - 1)(root 2 +1)

=> 2-1

=> 1

Answer 2

Given: The length of a rectangle is (√2+1) meters and its breadth is (√2-1) meters.

To find: The area of the rectangle.

Solution:

• Area of a rectangle is given by the formula,

       $A = l * b$

• Here, A is the area, l is the length and b is the breadth of the rectangle.
• On replacing the terms with the values given in the question, the obtained equation is,

       $A = (\sqrt{2} +1 ) * (\sqrt{2} -1 )$

• When two polynomial numbers are being multiplied, each term of both the polynomials are to be multiplied in order to get the product.

        $A = 2 - \sqrt{2} + \sqrt{2} - 1$

            $= 2 - 1$

            $= 1 m^{2}$

Therefore, the area of the rectangle is 1 m².