If the perimeter of this rectangle is 120 units what is the area in square units
The width is 3n and the length is n
2(3n+n)=120
n=15
Finish it off
To find the area of the rectangle, we need to know the values of the width and length.
Given that the width is 3n and the length is n, we can set up the equation for the perimeter:
Perimeter = 2(Length + Width)
120 = 2(n + 3n)
120 = 2(4n)
120 = 8n
To find the value of n, we can divide both sides of the equation by 8:
n = 120 / 8
n = 15
Now that we have the value of n, we can calculate the length and width:
Width = 3n = 3(15) = 45 units
Length = n = 15 units
Finally, we can calculate the area of the rectangle:
Area = Length * Width = 15 * 45 = 675 square units
To find the area of a rectangle, you need to multiply the length by the width. In this case, the width is given as 3n and the length is given as n.
To find the perimeter of a rectangle, you need to add up all the sides. In this case, since a rectangle has two pairs of equal sides, you can add the width and length together, and then multiply the sum by 2.
Given that the perimeter of the rectangle is 120 units, you can set up the equation:
2(3n + n) = 120
Simplifying this equation, we get:
2(4n) = 120
8n = 120
Dividing both sides by 8, we get:
n = 15
Now that we know n is 15, we can substitute this value back into the expression for the width and length. The width is given as 3n, so the width is 3 * 15 = 45 units. The length is n, so the length is 15 units.
To find the area, we can now multiply the width by the length:
Area = width * length
= 45 * 15
= 675 square units.
Therefore, the area of the rectangle is 675 square units.