What is the area of the quadrilateral if one diagonals has length 54 m and the other has length 72 m?
2007-05-06 14:39:43 · 4 answers · asked by 2 days after my B day :) 2 in Science & Mathematics ➔ Mathematics
Since it's implied that the answer doesn't depend on the exact shape of the quadrilateral, the area is simply (1/2)(72)(54), or 1944.
The proof that it doesn't matter rests on the linearity of the sum of triangular areas formed by the 2 perpendicular diagonals.
2007-05-06 14:44:44 · answer #1 · answered by Scythian1950 7 · 1⤊ 0⤋
Half the product of the diagonals
=1/2 * 54 * 72
=1944m^2
2007-05-06 14:44:49 · answer #2 · answered by gudspeling 7 · 1⤊ 0⤋
Area = Diagonal * Diagonal / 2
= 54 * 72 / 2
= 3888 / 2
= 1944 square meters
2007-05-06 14:49:22 · answer #3 · answered by M 2 · 0⤊ 0⤋
Use:
Area = (1/2) times length 1 times length 2
A = 1944m^2
Area is always measured in square units.
Guido
2007-05-06 14:47:51 · answer #4 · answered by Anonymous · 0⤊ 0⤋