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 1

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

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)