AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
The lengths of the four sides of a quadrilateral (in centimeters) are consecutive integers. If the perimeter is centimeters, find the value of the shortest of the four side lengths.Answer: centimeters
Full solution
Q. The lengths of the four sides of a quadrilateral (in centimeters) are consecutive integers. If the perimeter is centimeters, find the value of the shortest of the four side lengths.Answer: centimeters
- Denote Shortest Side: Let's denote the shortest side of the quadrilateral as (in centimeters). Since the sides are consecutive integers, the other three sides can be represented as , , and . The perimeter of the quadrilateral is the sum of its side lengths.So, the equation for the perimeter is:
- Simplify Equation: Now, let's simplify the equation by combining like terms:
- Subtract to Isolate x: Next, we subtract from both sides of the equation to isolate the term with :
- Divide to Solve : Now, we divide both sides of the equation by to solve for :
- Verify Solution: We have found that the shortest side length, , is centimeters. To ensure there are no math errors, we can check our work by adding the side lengths and verifying that they equal the perimeter:
More problems from Evaluate variable expressions: word problems
QuestionGet tutor help
QuestionGet tutor help
QuestionGet tutor help
QuestionGet tutor help
QuestionGet tutor help