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Q.

The area of a rectangle is 99 cm². If the breadth of the rectangle is 9 cm, find its perimeter. 

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a

150 cm

b

40 cm

c

30 cm

d

20 cm

answer is D.

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Detailed Solution

We are given a rectangle of area,  99 cm² and breadth as 9 cm.

For finding the length, we use the expression for calculating the area of rectangle which is:

Area=length×breadth

Substituting the known values, we get:

99=length×9

simplifying which we get:

length=11cm

Now, we will use this length in finding the perimeter by the expression:

P=2(length+breadth)

Substituting the values, we get:

P=2(11+9)

P=2(20)cm

or we can say:

P=40 cm

Thus, the required perimeter of the rectangle is found to be: option (D) 40 cm.

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