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 feetlonger 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 poolStep-by-step explanation:Letl ----> the length of the swimming poolw ---> the with of the swimming poold ---> the depth of the swimming poolwe know that[tex]w=2d[/tex] -----> equation A[tex]l=w+3[/tex] ----> equation Bsubstitute equation A in equation B[tex]l=2d+3[/tex] -----> equation CThe volume of the swimming pool is equal to[tex]V=lwd[/tex] Substitute equation A and equation C in the formula of Volume[tex]V=(2d+3)(2d)d\\ \\ V=4d^{3}+6d^{2}[/tex]thereforeThe binomial 2d + 3 represents the length of the swimming pool (equation C)