Mr. Wilson is building a swimming pool in his backyard. The width of the pool is twice the depth and the length of the pool is 3 feet longer than the width.

Respuesta :

real question:

Mr. Wilson is building a swimming pool in his backyard. The width of the pool is twice the depth and the length of the pool is 3 feet

longer than the width.

Which of the following statements is true?

The monomial 3d represents the length of the swimming pool.

The trinomial 2d3 +3d2+1 represents the volume of the swimming pool.

The binomial 6d3 + 4d2 represents the volume of the swimming pool.

The binomial 2d + 3 represents the length of the swimming pool.​

Answer:

The binomial 2d + 3 represents the length of the swimming pool

Step-by-step explanation:

Let

l ----> the length of the swimming pool

w ---> the with of the swimming pool

d ---> the depth of the swimming pool

we know that

w=2d -----> equation A

l=w+3 ----> equation B

substitute equation A in equation B

l=2d+3 -----> equation C

The volume of the swimming pool is equal to

v=lwd

Substitute equation A and equation C in the formula of Volume

v+(2d+3)(2d)d

v=4d^3+6d^2

therefore

The binomial 2d + 3 represents the length of the swimming pool (equation C)

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