9. There are 3 ribbons each of length 240 cm. They are used to stitch along the sides of three banners as shown below:
a) A triangle
b) A square
c) A regular hexagon
Find the length of the side of each banner.
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Answer:
Step-by-step explanation:
Given: ribbons each of length=240 cm
Now, each ribbon is stitched along the lengths of a triangle.
We have, sum of all the sides of a triangle is equal to the length of a ribbon.
Let the side of triangle=x
x+x+x=240
x=80 cm
Second ribbon is stitched along a square.
Let the side of square be y cm
We have, perimeter of square=4xside
240=4y
y=60 cm
Le the side regular hexagon=k
We have, perimeter of a regular hexagon=6xside
6k=240 cm
k=40 cm
Therefore, length of each side of banners are 80 cm, 60 cm, 40 cm.
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