The length of a rectangle is twice its width. If the perimeter is 54 inches, find the
dimensions of the rectangle.
width --- x
length --- 2x
perimeter = 2width + 2 lengths = 54
continue
To find the dimensions of the rectangle, we can set up two equations based on the given information.
Let's assume the width of the rectangle is "w" inches. Since the length is twice the width, we can say the length is "2w" inches.
The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Substituting the values we have, we get:
54 = 2(2w + w)
Simplifying this equation:
54 = 2(3w)
54 = 6w
Dividing both sides of the equation by 6:
9 = w
So, the width of the rectangle is 9 inches.
Now, to find the length, we can substitute the value of the width back into our expression for the length:
Length = 2w = 2(9) = 18 inches.
Therefore, the dimensions of the rectangle are 18 inches (length) and 9 inches (width).