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laila [671]
3 years ago
7

The rectangle below has an area of 81-x^2 square meters and a width of 9-x meters. What expression represents the length of the

rectangle?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

For this case we have that by definition, the area of a rectangle is given by:

A = w * l

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

According to the data of the statement we have:

A = 81-x ^ 2\\w = 9-x

So, the length is given by:

l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}

We factor the numerator:

l = \frac {(9 + x) (9-x)} {9-x}

We simplify:

l = 9 + x

So, the length is 9 + x

Answer:

9 + x

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