Did you know?
Did you know that you can find the dimensions of a rectangle with a little algebra? In this case, the length of the rectangle is 10 m less than twice its width. If we let the width be "w," then the length would be 2w - 10.
But that's not all! When we add 2 m to the width, the resulting figure is a square with an area of 196 m squared. To find the original dimensions, we need to solve for the original width and length.
By adding 2 m to the width, we get a new width of w + 2. Since the resulting figure is a square, each side has the same length. Therefore, the length would also be w + 2.
Now, we can use the formula for the area of a square: length x width = area. With the given area of 196 m squared, we can write the equation (w + 2) x (w + 2) = 196.
By solving this equation, we can find the value of w, which represents the original width. Once we have the width, we can substitute it into our original equation to find the length.
By utilizing algebraic techniques, we can determine the dimensions of the original rectangle. Algebra can be a powerful tool in solving mathematical problems!