The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown

number of inches.

Two students are told that the perimeter of this rectangle is at least 30 inches. The first student says, "The length of the

long side must be at least 13 inches". The second student says, "The unknown number must be at least 10 inches".

Which of the following statements is true?

The first student is correct.

The second student is correct

Both students are correct

Neither student is correct.

Question

Mathematics

Angel Sweeney

10 September, 21:25

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown

number of inches.

Two students are told that the perimeter of this rectangle is at least 30 inches. The first student says, "The length of the

long side must be at least 13 inches". The second student says, "The unknown number must be at least 10 inches".

Which of the following statements is true?

The first student is correct.

The second student is correct

Both students are correct

Neither student is correct.

+4

Answers (1)

Know the Answer?

Kadin Hamilton · Answer 1

The first student is correct

Step-by-step explanation:

With the given information there is already 4 inches on the rectangle. 13 x2 = 26. 26+4=30. For student two if the unknown number was 10 it would not work because the longest side is 3 less then the unknown number. 10-3=7. 7x2=14. 14+4 = 28<30