Answer:
15x - 10 = P
Step-by-step explanation:
(2x - 3) + (8x + 1) + (5x - 8) = 215
2x - 3 + 8x + 1 + 5x - 8 = 215
collect the like terms
15x - 10 = 215
add 10 to each side
15x = 225
divide each side by 15
x = 15
sub x = 15 into the original equation
2(15) - 3 + 8(15) + 1 + 5(15) - 8 = 215
therefore the expression to find the perimeter (P) o the triangle is:
15x - 10 = P
Answer:
Step-by-step explanation:
The perimeter of a plane figure is the distance around it. The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
Where a, b and c are the length of each side of the triangle.
The triangle has side lengths as follows: 2x - 3 , 8x +1 and 5x - 8. Therefore, the expression to find the perimeter of the triangle is
2x - 3 + 8x + 1 + 5x - 8
= 2x + 8x + 5x - 3 + 1 - 8
= 15x - 10
If the Perimeter is equal to 215 inches, it means that
15x - 10 = 215
15x = 215 + 10 = 225
x = 225/15
x = 15
The length of the sides are
2x - 3 = 2 × 15 - 3 = 27 inches
8x + 1 = 8 × 15 + 1 = 121 inches
5x - 8 = 5 × 15 - 8 = 67 inches
