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A rectangular blanket is 2x + 1 feet wide and 4x - 3 feet longWhat is the area in terms of x?

User Roper
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1 Answer

16 votes
16 votes

Answer:

3/4

Explanation:

So remembering the length times width formula:

Put it in an equation-

(2x+1)(4x-3)

Now start to solve for x:

Multiply using 'foil' method:

(2x+1)(4x-3)

8x -6x + 4x -3

8x -2x -3

Now, factrorize 8x^2 - 2x - 3: (Put a square since this is square measures)

8x^2 - 2x - 3 Sum = -2

Product = -24

Two numbers that give you the sum of -2 and product of -24:

-6 and 4

So now factor out like terms:

8x^2 -6x + 4x -3

2x(4x - 3) + 1(4x - 3)

(2x + 1) (4x-3) = 0

Solve for x in both:

2x + 1 = 0

x = -1/2

4x - 3 = 0

x = 3/4

The area cant be negative so the area in terms of x is:

x = 3/4

(Hope this helped)

User Recycled Steel
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