Question

the perimeter of the triangle shown to the right is 154 meters. find the lenght of each side. (4x)m  (7x+2)m  (7x+8)m

Answer 1

The first to find the length of each side, we have to find the value of x :
$(4x) + (7x + 2) + (7x+8) = 154$

$4x + 7x + 7x + 2+8 = 154$

$18x +10 = 154$

$18x = 154 - 10$

$18x = 144$

$x = \frac{144}{18}$

$\boxed{x=8}$

Solution First side :
$(4x)m = (4 \cdot 8)m = 32\ m$
 
Solution Second Side :
$(7x+2)m = (7(8)+2)m = 58\ m$  

Solution Third Side :
$(7x+8)m = (7(8)+8)m = 64\ m$

Answer 2

4x + 7x + 2 + 7x + 8 = 154
18x = 154 - 10
18x = 144
x = 8

Sides:  32 m,  58 m ,   64 m