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sesenic [268]
3 years ago
15

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 rectang

le?
Mathematics
2 answers:
kogti [31]3 years ago
8 0
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
Yanka [14]3 years ago
6 0

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

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Answer:

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Step-by-step explanation:

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