Mary made chocolates that are shaped like the figure shown. About how much square centimeters of wrapping will she need to cover
one of her chocolates ?
Select one :
54.8cm2
109.6cm2
125.6cm2
70.8cm2
Select one :
54.8cm2
109.6cm2
125.6cm2
70.8cm2
2 answers:
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<h2>Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:
First pair of opposite sides:
<u>Slope:</u>
Second pair of opposite sides:
<u>Slope:</u>
So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:
So the diagonals measure the same, therefore this is a rectangle.
