Question

In the figure, length of the rectangle is (√2+1)metres. and its breadth is (√√2-1)metres

(a) Find its area.

(b) The area of a rectangle is 1 square metre and its length is (2+√√3)metres Find its breadth correct to a centimetre. (√√31.732)
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Answer 1

Answer:

the answer to ur question a is 1cm square.

the answer to ur second question is √31.732

Step-by-step explanation:

Area of rectangle = length * breadth

= (√2+1)*(√2-1)

= (√2)^2 -1

=2-1=1cm

Therefore,area of rectangle = 1cm^2

Answer 2

The area of the rectangle whose dimensions are given is 1 cm².

GIVEN: The length of the rectangle is (√2+1) meters. and its breadth is (√2-1) meters.
TO FIND The Area of the rectangle whose dimensions are given.
SOLUTION:

As we are given in the question,

The Length of the rectangle = (√2+1) meters

The breadth of the rectangle = (√2-1) meters

Also, we know,

Area of rectangle = length * breadth

Therefore, putting the dimensions given in the formula,

Area of rectangle = (√2+1)*(√2-1)

Now, using the identity,

(a+b)(a-b) = a² - b²

Therefore,

Area of rectangle = (√2)² - (1)²

Area of rectangle = 2-1

Area of rectangle = 1 cm

Therefore,

The area of a required rectangle is 1cm².

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