what are the length and width of a rectangle if the area is 13.5 square units and the length of one side is .5 the measure of the perimeter?
Ok so we the the area A=13.5 units^2 and we know one side is .5 units. The formula for area of a rectangle is A=LW so we put 13.5=L*.5 and this gives us 13.5/.5=L so L=27 and the perimeter P is just the four sides added up P=2L+2W P=2(27)+2(.5)
side 1 --- x
side 2 --- y
perimeter = 2x + 2y
x = (1/2)(2x+2y) = x+y
y = 0
silly question!
A side cannot be .5 or 1/2 the measure of the perimeter, just think about it
check your wording of the question.
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Same @I NEED ANSWERS PLEASE
To find the length and width of the rectangle, we can use the given information about the area and the length of one side.
Let's first find the perimeter of the rectangle. The perimeter is the sum of all four sides of the rectangle. Since we know that the length of one side is half of the perimeter, we can write an equation:
Perimeter = 2 * (Length + Width)
Length of one side = 0.5 * Perimeter
Since the length of one side is given as half the perimeter, we can write this equation:
0.5 * Perimeter = Length
Now, let's focus on the area. The area of a rectangle is calculated by multiplying its length and width. So we have:
Area = Length * Width
We are given that the area is 13.5 square units, so we can write the equation:
13.5 = Length * Width
We now have two equations:
0.5 * Perimeter = Length
13.5 = Length * Width
To solve this system of equations, we need one more equation relating the length and width. We can use the fact that the length of one side is half of the perimeter:
Perimeter = 2 * (Length + Width)
Now, we have three equations:
0.5 * Perimeter = Length
13.5 = Length * Width
Perimeter = 2 * (Length + Width)
With these equations, we can solve for the length and width of the rectangle. We can substitute the expression 0.5 * Perimeter for Length in the other equations and solve for the variables.