Question

The diagram represents the area of a rectangle as 9x2 + 24x + 16 square units.
What are the length and width of the rectangle in terms of x?
both:  3x + 4 units
both:  3x + 8 units
width: 3x + 4 units; length: 6x + 12 units
width: 3x + 8 units; length: 6x + 8 units

Answer 1

we know that

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself

so

$(a^{2} +2ab+b^{2})=(a+b)^{2}$

in this problem we have

$9x^{2} +24x+16$

both $9x^{2}$ and $16$ are perfect squares

hence

$9x^{2} +24x+16=(3x+4)^{2}$

$Length=(3x+4)\ units$

$Width=(3x+4)\ units$

therefore

the answer is

both:  3x + 4 units

Answer 2

Answer:

the correct answer is

A. both:  3x + 4 units

Step-by-step explanation:

I took the unit review test and got 100%!

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