A garden is 15-feet long by 5-feet wide. The length and width of the garden will each increased by the same

Perimeter = (4x + 40) feet

Step-by-step explanation:

Given that the

Length of the garden = 15 feet

And

Width of the garden = 5 feet

The length and the width of the garden increase by an equal value.

To find the expression representing the perimeter of the garden,

Let x be the increased amount of length.

Thus, the new length of garden becomes (x+15) and the new width of garden becomes (x+5)

Let us assume that the garden is a rectangle, then,

Perimeter of garden = 2(L + W)

= 2(x + 15 + x + 5)

= 2(2x + 20)

= (4x + 40) feet.

Or

Perimeter = (x+15) + ( x + 5 ) ( x + 15 ) + (x + 5 )

= 4x + 40

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.