Question

a wire when bent in the form of a square encloses an area of 484 metre square find the largest area enclosed by the same wire when bent to form 1)an equilateral triangle, 2)a rectangle of breadth 16 m

Answer 1

Area = 484 m. Sq
So sides = 484^(1÷2)=22m
Perimeter =4×22=88m

1. When the wire is bent inti an equilateral triangle, sides = 88/3= 29.33m
So area = {[3^(1 ÷2)]/4}×(29.33×29.33)
= 371.74 m. Sq

2. Rectangle of breadth 16m has a length = [88-(2×16]/2 =28m
So area = length ×breadth
=28×16= 448m.sq