Respuesta :
Answer:
The length of the longest side is 9 inches
Step-by-step explanation:
The given parameters for the quadrilateral is that the length of the sides are;
The length of the sides are consecutive integers = x, x + 2, x + 4, x + 6
The perimeter of the rectangle = 36 inches
The side length to be found = The length of the longest side = x + 3
2 6 10 14 18
∴ x + x + 2 + x + 4 + x + 6 = 36
4·x + 12 = 36
4·x = 36 - 12 = 24
4·x = 24
x = 24/4 = 6
x = 6 inches
The length of the longest side = x + 3 = 6 + 3 = 9
The length of the longest side = 9 inches.
Answer:
The length of the longest side is 9 inches
Step-by-step explanation:
The given parameters for the quadrilateral is that the length of the sides are;
The length of the sides are consecutive integers = x, x + 2, x + 4, x + 6
The perimeter of the rectangle = 36 inches
The side length to be found = The length of the longest side = x + 3
2 6 10 14 18
∴ x + x + 2 + x + 4 + x + 6 = 36
4·x + 12 = 36
4·x = 36 - 12 = 24
4·x = 24
x = 24/4 = 6
x = 6 inches
The length of the longest side = x + 3 = 6 + 3 = 9
The length of the longest side = 9 inches.
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