Answer: Perimeter = (4x + 40) feet
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