Question

A rectangle has side lengths(2x-5) meters and (2x+6) meters. Write a linear expression in simplest form to represent the perimeter. Find the perimeter of the value of x is 12 meters

Answer 1

Perimeter = sum of all 4 sides

= 2(2x - 5) + 2(2x + 6_)
= 4x - 10 + 4x + 12
= 8x + 2 Answer

When x = 12  Perimeter = 8(12) + 2 = 98   meters answer

Answer 2

The simplest form to represent the perimeter is (P = 8x + 2) and the perimeter if the value of x is 12 meters is 98 meters and this can be determined by using the formula of the perimeter of a rectangle.

Given :

A rectangle has side lengths(2x-5) meters and (2x+6) meters.

The formula of the perimeter of a rectangle is given by:

P = 2(l + w)

where l is the length of the side and w is the width of the rectangle.

Now, substitute the value of l and w in the above formula.

P = 2((2x - 5) + (2x + 6))

Simplify the above equation in order to determine the expression of 'P'.

P = 2(4x + 1)

P = 8x + 2

Now, if the value of x is 12 meters then the perimeter of a rectangle is given by:

P = 8(12) + 2

P = 96 + 2

P = 98 meters

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https://brainly.com/question/3382480