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Amanda [17]
3 years ago
7

The dimensions of a rectangle are:

Mathematics
1 answer:
lara [203]3 years ago
8 0

The dimensions of a rectangle are -3x - 2 and 10x - 9 The simplified expression for the rectangle's perimeter is 14x – 22

<u>Solution:</u>

Given that dimensions of a rectangle are -3x – 2 and 10x – 9

Let’s say width of the rectangle = w = -3x – 2

And length of the rectangle = l = 10x – 9

<em><u>The formula for perimeter of rectangle is given as:</u></em>

Perimeter of rectangle = 2 (l + w)  

By substituting the length and width values we get,

=> Perimeter of rectangle = 2 [(10x – 9  ) + ( -3x – 2 )]

On simplification we get,

= 2 (10x – 9 – 3x – 2 )  = 2 (7x – 11)  

=> Perimeter of rectangle = 14x – 22

Hence simplified expression for the rectangle's perimeter having dimensions as -3x - 2 and 10x – 9 is 14x – 22

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