rectangle is 122 inches length exceeds the width by 37 inches. Find the length and the width
To find the length and width of the rectangle, we need to set up a system of equations based on the given information.
Let's assume the width of the rectangle is "x" inches.
According to the problem, the length exceeds the width by 37 inches. So, the length can be expressed as "x + 37" inches.
We also know that the length of the rectangle is 122 inches.
Now we can write the equation:
Length = x + 37 = 122
To solve for "x," we can subtract 37 from both sides of the equation:
x + 37 - 37 = 122 - 37
This simplifies to:
x = 85
Therefore, the width of the rectangle is 85 inches.
To find the length, we substitute the value of the width (x = 85) into the equation:
Length = x + 37 = 85 + 37 = 122
So, the length of the rectangle is also 122 inches.
Therefore, the length and width of the rectangle are both 122 inches.