Question

If a square and a triangle have the same perimeter, which has the greater area? Illustrate with an example.​

Answer 1

Answer:

Hiii

Step-by-step explanation:

perimeter 4,

sides of square all equal 1,

area =1. (4/9)√3

which is about

0.7698 square units.

Answer 2

Answer:

square has greater area.

Step-by-step explanation:

let the same perimeter be = 12a

if perimeter is 12a,

side of triangle = 4a

side of square = 3a

hence,

area of square= side × side

= 3a×3a = 9a^2

as for triangle,

area = 1/2 × base × height

= 1/2 × 4a × 2√3a

(refer to image if you have confusion)

= 4√3a^2

hence area of square is greater.