Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?

Respuesta :

1. The formula for the area of a rectangle is:

 A=LxW

 L: The lenght of the rectangle (L=2W).
 W: The width of the rectangle.

 2. Let's substitute L=2W into the formula A=LxW:

 A=LxW
 A=2WxW
 A=2W²

 3. When we clear "W", we obtain:

 W²=A/2
 W=√(A/2)

 4. We already know the value of "A", so:

 W=√(50 ft²/2)
 W=√(25 ft²)
 W=5 ft

 5. Now, we must substitute the value of "W", into L=2W:

 L=2W
 L=2(5 ft)
 L=10 ft

 6. The perimeter of a rectangle is:

 P=2L+2W

 7. We know the value of "L" and "W", therefore:

 P=(2x10 ft)+(2x5 ft)
 P=20 ft+10 ft
 P=30 ft

 What is the perimeter of the porch? 

 The answer is: 30 ft

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