Please help me with this

m=9 cm; n=4 cm

Step-by-step explanation:

The area of the rectangle is m*n, and the area of the square is 6*6.  We are told that the areas of the rectangle and square equal each other, so:

We are told that m is 5 cm longer than n, so we know that:

Therefore, we can solve for n using substitution.

We now have two answers for n: -9 and 4.  However, the side length cannot be negative; that simply wouldn't make any sense.  Therefore, n = 4.

Next, using the same equation, plug in 4 for n and solve for m.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.