Pythagorean Theorem: a2+b2=c2. So if the length is 4cm and the width is 3cm:
a2+b2=c2
(3)2+(4)2=(5)2
9+16=25
25=25
Therefore, the diagonal would be 5cm.
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The formula for finding the diagonals of any polygon is: 0.5*(n2-3n) where n = the number of sides. A trapezoid has 4 sides so: 0.5*(16-12) = 2 diagonals
It has 170 diagonals by using the diagonal formula
Because in both cases their diagonals cross at right angles So their areas are: 0.5*product of diagonals
Using the formula: 0.5*(142-42) = 77 diagonals
Using the formula: 0.5*(n2-3n) it has 54 diagonals