A park manager has of fencing and considers two triangular layouts for a flower plot
MATHEMATICS · Multi-part · CBSE · Mathematics · Heron's Formula · Heron's Formula
Problem
A park manager has 60m of fencing and considers two triangular layouts for a flower plot.
Layout I: An equilateral triangle using the entire fencing.
Layout II: A triangle with sides 18m, 20m and 22m.
Answer the following:
(a) Verify that both layouts use exactly 60m of fencing.
(b) Find the area of Layout I.
(c) Find the area of Layout II.
(d) Which layout provides the larger planting area? State the difference between the two areas correct to one decimal place.