Question

The side length of a quadrilateral form an arithmetic sequence. if the perimeter of this quadrilateral is 74cm and the longest side is 29cm. What are the other side lengths?

Answer 1

The values of other side lengths in an arithmetic sequence are: 15-d, 15, and 15+d.

Step-by-step explanation:

Let's assume that the side lengths of the quadrilateral are a-d, a, a+d, and 29, where a is the middle term and d is the common difference of the arithmetic sequence.

The perimeter of the quadrilateral is the sum of all the side lengths:

Perimeter = (a-d) + a + (a+d) + 29 = 3a + 29

Since the perimeter is given as 74 cm, we can set up the equation:

3a + 29 = 74

Solving this equation gives us a = 15.

Using this value, we can find the other side lengths:

a-d = 15 - d

a = 15

a+d = 15 + d

Since a is 15, the other side lengths are 15-d, 15, and 15+d.