In an attempt to reduce their air conditioning usage, Lavinia’s family decided to put up a triangular shade outside, with seating underneath. These shades come in a variety of sizes and shapes, which cover different areas.
a) One shade is in the shape of a right-angled triangle, with the two legs of the triangle having lengths of 4m and 5m respectively. What is the area of shade produced when the sun is directly overhead?
b) Another shade is an equilateral triangle, with side lengths of 5m and a perpendicular height of 4.33m. What area of shade is produced when the sun is directly overhead?
c) Which one will shade more?