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2 years ago

The lengths of the four sides of a quadrilateral (in centimeters) are consecutive

Mathematics

1 answer:

My name is Ann [436]2 years ago

6 0

The longest of the four side lengths is 24 cm

<h3>How to find the value of the longest of the four side lengths?</h3>

The given parameters are:

Perimeter, P = 90 cm

The lengths are consecutive integers

Let the smallest be

Smallest = x

So, we have

P = x + x + 1 + x + 2 + x + 3

Evaluate the like terms

P = 4x + 6

Substitute P = 90 cm in P = 4x + 6

4x + 6 = 90

Subtract 6 from both sides

4x = 84

Divide by 4

x = 21

The longest side is

Longest = x + 3

This gives

Longest = 21 + 3

Evaluate

Longest = 24

Hence, the longest of the four side lengths is 24 cm

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