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The real answer is 72 .
First, find the number of sides for each group of shapes.
5 pentagons: 5 × 5 = 25
3 hexagons: 3 × 6 = 18
2 decagons: 2 × 10 = 20
1 nonagon: 1 × 9 = 9
Now add to find the total number of sides:
25 + 18 + 20 + 9 = 72
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How many sides do 4 decagons and 5 hexagons have altogether?
A decagon has 10 sides, and a hexagon has 6. So in 4 decagons and 5 hexagons there are (4*10)+(5*6) = 70 sides
How many sides do 5 decagons and 4 triangles have altogether?
A decagon has ten sides and a triangle has three, so 5 decagons and 4 triangles have (5*10)+(4*3) = 62 sides altogether.
How many sides do 3 decagons and 5 octagons have altogether?
A decagon has ten sides and an octagon has eight, so in 3 decagons and 5 octagons there are (3*10)+(5*8) = 30 + 40 = 70 sides altogether.
How many sides do 4 decagons and 1 quadrilateral have altogether?
4 decagons = 4*10 = 40 sides 1 quadrilateral = 4 sides Total 40+4 = 44 sides.
How many sides do 5 decagons and 5 heptagons have altogether?
A decagon has 10 sides and a heptagon has 7. So five decagons and five heptagons have 5*10 + 5*7 = 50 + 35 = 85 sides.
