Question

The rectangle below has an area of \[49-x^2\] square meters and a width of \[7 x\] meters. what expression represents the length of the rectangle?

Answer 1

The expression that represents the length of the rectangle is (49 - x^2) / 7x.

Explanation:

We are given that the area of the rectangle is (49 − x^2) square meters and the width of the rectangle is 7x meters.

We need to find an expression that represents the length of the rectangle.

Since the area of a rectangle is given by the product of its length and width, we can set up the equation:

Area = Length x Width

Substituting the given values, we get:

(49 - x^2) = Length x 7x

To find the expression that represents the length, we need to isolate the length term. We can do this by dividing both sides of the equation by 7x:

Length = (49 - x^2) / 7x

Therefore, the expression that represents the length of the rectangle is (49 - x^2) / 7x.