Question

which figure encloses more area a square of side of 2 cm a rectangle of side 3 cm and 2 cm an equilateral triangle of 4 cm​

Answer 1

Answer:

An equilateral triangle encloses more area if a square of the side of 2 cm a rectangle of side 3 cm and 2 cm an equilateral triangle of 4 cm​.

Step-by-step explanation:

Given: Side of square = 2 cm

Length of rectangle = 3cm

and breadth of rectangle = 2 cm

Side of equilateral triangle = 4cm

Find :

Area of square

Area of rectangle

Area of an equilateral  triangle

Step 1:

Area of square = side × side = 2 × 2 = 4 sq. cm

Step 2:

Area of rectangle = length × breadth = 3 × 2 = 6 sq. cm

Step 3:

Area of an equilateral  triangle $= \frac{\sqrt{3} }{4} \times (side)^2$

$= \frac{\sqrt{3} }{4} \times (4)^2$

= 6.93 sq. cm

So, equilateral triangle encloses more area .