The top of a rectangular dining room table is twice as long as it is wide. dimensions of the table if the area is 72 ft^2
the table is_____ft wide and ______ ft. long.
PLEASE HELP
6x12
To find the dimensions of the table, we'll use the information given about the area.
Let's say the width of the table is x feet.
According to the problem, the length of the table is twice its width. So, the length would be 2x feet.
The formula for the area of a rectangle is length × width.
We are given that the area is 72 ft^2, so we can write an equation:
x * 2x = 72
Simplifying the equation:
2x² = 72
Dividing both sides of the equation by 2:
x² = 36
Taking the square root of both sides to solve for x:
√(x²) = √36
x = 6
So, the width of the table is 6 feet.
Since the length is twice the width, the length would be:
2x = 2 * 6 = 12
So, the length of the table is 12 feet.
Therefore, the table is 6 ft wide and 12 ft long.