Answer:
The expression for length of the rectangle is x-2 meters.
Explanation:
Given the area of the rectangle as : x²- 7x+10 square meters
The width of the rectangle is : x-5 meters
Area of a rectangle is given by the product of its length and width.
Dividing the expression for area with the expression for width will give the expression for length.
Here, perform the long division of the polynomial; where the numerator is x²- 7x+10 and the denominator is x-5
First divide x²- 7x+10 by x-5 to get x
Multiply x by x-5 to get x²-5x
Subtract x²-5x from x²-7x+10 to get -2x+10
Then divide -2x+10 by x-5 to get -2
Multiply x-5 by -2 to get -2x+10
Perform subtraction to remain with zero.
The expression for length will now be x-2 meters