Question

The length of equal sides of an isosceles triangle is 4m less than twice the length of the base. Find the dimensions if it's perimeter is 57m?

Answer 1

If the third side is X, then
55=X+2(3X-4)
55=X+6X-8 
7X=63
X=9(m)

 

Sides are  9m, 23m, 23m

Answer 2

Answer:

13m, 22m and 22m

Step-by-step explanation:

Let the length of the equal side be x.

The equal side is 4m less than the twice the length of the Base. So,

$2x - 4 + 2x - 4 + x = 57 \\ 5x - 8 = 57 \\ 5x = 65 \\ x = 13$

So, the other side is 13m.

Equal side=

$2x - 4 \\ = 2 \times 13 - 4 \\ = 22$

So, length of equal sides are 22m and 22m.

So, dimensions are 13m,22m and 22m.