A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden? A. 2x + 2 B. 3x + 4 C. 6x + 8 D. 8x + 8 – 2x

Respuesta :

perimiter=2L+2W
P=2(L+W)

if x=width then
P=2(L+x)

P=8x+8
hmm
8x+8=2(L+x)
distribute
8x+8=2L+2x
minus 2x both sides
6x+8=2L
divide both sides by 2
3x+4=L
the length is 3x+4

B is answer

The length is 3x+4

What is Perimeter of rectangle?

The perimeter of a rectangle is the total length or distance of its boundary on all sides. The perimeter of a rectangle is a linear measure and is expressed in linear units of meters, feet, inches, or yards. Let us first understand the two main properties of a rectangle.

  • All four angles of a rectangle are 90°.
  • The opposite sides of a rectangle are equal in measure.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given:

width= x

perimeter= 8x + 8

Now,

perimeter of rectangle= 2 ( l + b)

8x+8 = 2(l + x)

4x+4= l +x

l= 3x+4

Hence, length is 3x+4

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