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Q.

The area of a rectangle is 96 cm². If the breadth of the rectangle is  8 cm, find its  perimeter. 

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a

40 cm

b

80 cm

c

120 cm

d

160 cm

answer is A.

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Detailed Solution

We are given a rectangle of area,  96cm2 and breadth as 8cm.

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:

96=length×8

simplifying which we get:

length=12cm

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

P=2(length+breadth)

Substituting the values, we get:

P=2(12+8)

P=2(20)cm

or we can say:

P=40 cm

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

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