The perimeter of a rectangle is 64 feet. the length of the rectangle is 3 times the width of the rectangle. if w represents the width of the rectangle, the equation that represents the perimeter is 2(3w)+2w=64 . which shows the first step that should be taken to verify that the width of the rectangle is 8?
2(8)+2(8)=64
2(3+8)+(2+8) =64
2(3(8))2(8)=64
2(3+8)2(8)=64

2(3(8))+2(8)=64

Step-by-step explanation:

Here, w represents the width of the rectangle,

∵ length of the rectangle is 3 times the width of the rectangle,

So, length = 3w,

Since, the perimeter of a rectangle, P = 2(length + width)

= 2(w + 3w)

= 2w + 2(3w)

If P = 64 feet,

⇒ 2w +2(3w) = 64

⇒ 2w + 6w = 64

⇒ 8w = 64

⇒ w = 8

Verification :

P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet

Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64

Note : a solution obtain from an equation is verified by substituting the value in the equation.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.