Question

The rectangle below has an area of x^2-7x+10x 2 −7x+10x, squared, minus, 7, x, plus, 10 square meters and a width of x-5x−5x, minus, 5 meters. What expression represents the length of the rectangle?

Answer 1

The expression for length of the rectangle is x-2 meters.

Step-by-step 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

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Polynomial division : https://brainly.com/question/12562913

Keyword : rectangle, area

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