Write the equation that represents the relationship between n the number of triangles and p the perimeter of the figures formed.
the triangle perimeters are 10 and the base is 7.
a.P=10n+14
b. P=10n+7
c.P=7n+10
d. P=7n+20. *****
the Perimeter of the triangles are 27. 34. 41.
Looks good to me.
To find the equation that represents the relationship between the number of triangles (n) and the perimeter of the figures formed (p), we need to analyze the given information.
We know that the base of each triangle is 7 units. The perimeter of a triangle can be found by adding the lengths of all its sides. Since we are given the perimeters of three triangles (27, 34, and 41), we can deduce that the sum of the other two sides of each triangle is the given perimeter minus the base.
For the first triangle with a perimeter of 27 units, the sum of the other two sides would be 27 - 7 = 20 units.
For the second triangle with a perimeter of 34 units, the sum of the other two sides would be 34 - 7 = 27 units.
For the third triangle with a perimeter of 41 units, the sum of the other two sides would be 41 - 7 = 34 units.
We can observe that the sum of the other two sides is equal to 10n (10 times the number of triangles, n).
So, the correct equation representing the relationship between n and p is:
P = 7n + 20 (Option d)