A rectangle has side lenghs X +2 and 3X -1 write an expression that represents the perimeter of the rectangle then simplify the

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A rectangle has side lenghs X +2 and 3X -1 write an expression that represents the perimeter of the rectangle then simplify the

expression

Mathematics

1 answer:

pshichka [43] · Answer 1 · 2022-02-21T08:57:31+03:00

Answer: Perimeter = 2(L + W) and

as a simplified expression is, 8x + 2

Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.

However, since we have been given the sides of the rectangle as x + 2 and 3x - 1, we shall substitute for the values of these in the expression representing the perimeter.

2(L + W) can now be written as

2( {x + 2} + {3x - 1} )

2(x + 2 + 3x - 1)

By collecting like terms, we now have

2(4x + 1)

8x + 2.

The expression can now be simplified as 8x + 2