SOLUTION: Add. Simplify if possible. 7v/v^2-49 + v/v-7 (this is a fraction) Find the polynomial for the perimeter and for the area z+8 (top of square) z (side of square). Subt

Question 170193: Add. Simplify if possible. 7v/v^2-49 + v/v-7 (this is a fraction)

Find the polynomial for the perimeter and for the area z+8 (top of square) z (side of square).

Subtract by simiplifying collecting like radical terms if possible 4 square root sign 80 - 6 square root sign 5.

If the sides of a square are lengthened by 7cm, the area becomes 196cm^2.
Find the length of a side of the oringinal square.

Please help I have to submit by tomorrow.
Thank you in advance

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given equation

Factor the first denominator

Take note that the LCD is

Multiply the second fraction by to make the denominators equal.

Distribute

Combine the fractions.

Combine like terms.

FOIL the denominator.

So simplifies to

# 2

Area:

So the area is square units

Perimeter:

So the perimeter is units

# 3

Start with the given expression

Simplify to get . Note: If you need help with simplifying square roots, check out this solver.

Since we have the common term , we can combine like terms

Combine like terms. Remember,

Now simplify to get

So simplifies to .

In other words,

# 4

Area of original square

Area of new square:

Since the "area becomes 196cm^2", this means that

Start with the second equation

Plug in

FOIL

Subtract 196 from both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for s

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible answers are or

However, since a negative side length is NOT possible, this means that the only answer is

====================================================================

Answer:

So the original side length is 7 centimeters
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