Question

4 equilateral triangle are constructed on all sides of a square. if side of the square is 6 cm,find the total area and perimeter

Answer 1

total area=at(square)+4at(equilateral triangle)
=
$a {}^{2} + 4 \times \sqrt{3} \frac{1}{4} a {}^{2}$
therefore
area=
$36 + \sqrt{3} \frac{36}{4} \times 4$
$36(1 + \sqrt{3} )cm {}^{2}$