Word Problems

Question

The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter
of the triangle is 46 inches, what is the length of the base?

Answer 1

Chris, the two equal legs can each be x. Then, the base is (1/4)x.

 

x + x + (1/4)x = 46

(2 1/4)x = 46

(9/4)x = 46

(4/9)(9/4)x = (4/9)46

x = 184/9

 

(1/4)(184/9) = 5 1/9 inches

 

Hope this helps!