Question

an isosceles triangle has two sides of equal length. The length of one of the equal sides is 2 ft more than 4 times the length of the third side. Find the length of each side when the perimeter is 22 ft. The length of each equal side is? length of the third side?

Answer 1

the length of each equal side is 10 ft

the length of the third side is 2 ft

let x be the length of the third side the equal sides are 4x + 2

given perimeter == 22, then

x + 4x + 2 + 4x + 2 = 22

9x + 4 = 22 ( subtract 4 from both sides )

9x = 18 ( divide both sides by 9 )

x = 2 and 4x + 2= 10