Question

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

Answer 1

49-x^2 factors to (7+x)(7-x). This is because both terms are perfect squares.
When you divide out 7+x because a rectangle's area equals length times width, you get 7-x

Final answer: 7-x

Answer 2

Answer:

( 7-x ) meter.

Step-by-step explanation:

Rectangle has an area of $(49-x^{2})meter^{2}$ and width of the rectangle is given as ( 7 + x).

We have to find expression that represents length of the rectangle.

Since area of rectangle = Length × width

$(49-x^{2} )=(7+x)$ × length

$(7-x)(7+x)=(7+x)$ × length

[Since $a^{2}- b^{2}=(a+b)(a-b)]$

Length = $\frac{(7-x)(7+x)}{(7+x)}$

= (7-x) meter