A wire of 53 cm long is cut into two parts.The longer wire is bent to form an equilateral triangle.The shorter one is be

问题描述:

A wire of 53 cm long is cut into two parts.The longer wire is bent to form an equilateral triangle.The shorter one is bent to form a square.If the length of each side of the square is 6 cm shorter than that of the triangle,find the respective lengths of the longer and shorter wires.

let X be the length of the triangle3(X+6)+4X=533X+18+4X=537X =53-187X=35X=5the length of the shorter wire is5cm×4=20cmthe length of the loner wire is(5+6) ×3= 33cm