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Fynjy0 [20]
3 years ago
14

The area of a rectangle is 10 cm^2. One side of the rectangle is x cm. Express the perimeter of the rectangle in terms of x and

show that this rectangle cannot have a perimeter of 12 cm.
Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Area of rectangle = 10cm²

We know that, Area of rectangle = lb

lb = 10

Let l = x cm. Then b = 10/x cm.

Perimeter of rectangle

= 2(l + b) \\  = 2(x +  \frac{10}{x}) \\  =  \frac{2 {x}^{2} + 10 }{x}cm.

But, this rectangle can't have 12 as its perimeter because Sides have to be factors of 10.If l = 5cm and b = 2cm then it will have perimeter 14cm.If l = 10cm and b = 1cm then it will have perimeter 22cm.

Hope this will help you. 

If you like my answer. Please mark it as brainliest  And  Be my follower if possible.

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