A rectangular kitchen table is three times as long as it is wide.If it were 3 m shorter and 3 m wider it would be a square.What are the demensions of the rectangular table?
L=3W
L-3=W+3
3W-3=W+3
2W=6 then solve for L
3w-3=W+3
i.d.k.
i.d.k.
To find the dimensions of the rectangular table, let's first set up the problem.
Let's assume the width of the rectangular table is "x" meters. According to the given information, the length of the rectangular table is three times its width. So, the length can be represented as "3x" meters.
If the table were 3 meters shorter, its new length would be "3x - 3" meters. And if it were 3 meters wider, its new width would be "x + 3" meters.
According to the problem statement, if the table were 3 meters shorter and 3 meters wider, it would become a square. In a square, the length and width are equal.
So, we can set up the equation:
3x - 3 = x + 3
Now, let's solve the equation to find the value of x, which represents the width of the rectangular table:
3x - x = 3 + 3
2x = 6
x = 6/2
x = 3
Therefore, the width of the rectangular table is 3 meters.
Since the length of the rectangular table is three times its width, the length can be found by multiplying the width by 3:
Length = 3 * Width = 3 * 3 = 9 meters
So, the dimensions of the rectangular table are 3 meters by 9 meters.