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The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm. find its length. Also find the area of the rectangle.

Q. 7.     The perimeter of a rectangle is 130\; cm. If the breadth of the rectangle is 30\; cm, find its length. Also find the area of the rectangle.

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It is given that the perimeter of a rectangle is 130\; cm and breadth is 30\; cm

Now, we know that

The perimeter of the rectangle is =2(l+b)

\Rightarrow 130 = 2(l+30)

\Rightarrow 2l = 130- 60

\Rightarrow l = \frac{70}{2} = 35 \ cm
Now, 

Area of rectangle is = length \times breath

\Rightarrow 35 \times 30 = 1050 \ cm^2

Therefore, the length and area of the rectangle are 35cm and 1050 \ cm^2 respectively

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