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A structure is supported by a triangular structure which can withstand a certain weight in a particular configuration depending upon their surface area. The structure which is to be balanced is a square and triangles are kept on their base in a line such that the total length of the bases is equal to the side of square. There are total 15 such lines with some space in between and each line has 10 triangles. The square, weighing 50 kg and 10 m side, is balanced 3m above the ground. What is weight on per unit area of triangles?

A structure is supported by a triangular structure which can withstand a certain weight in a particular configuration depending upon their surface area. The structure which is to be balanced is a square and triangles are kept on their base in a line such that the total length of the bases is equal to the side of square. There are total 15 such lines with some space in between and each line has 10 triangles. The square, weighing 50 kg and 10 m side, is balanced 3m above the ground. What is weight on per unit area of triangles? Correct Answer 500 g

Each line has 10 triangles

10 × base of triangle = side of square = 10m

⇒ Base of one triangle = 1m

The square is balanced 3m above the ground

Altitude of triangle = 3m

⇒ Area of each triangle = 1/2 × 3 × 1 = 1.5 m2

∵ Triangle in each line = 10

∵[ height="20" src="file:///C:/Users/KOMAL~1.DES/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif" width="4">Total number of lines = 15

Total number of triangles = 10 × 15 = 150

⇒ Weight on each triangle = 50/150 = 1/3 kg

⇒Weight per unit area = 1/3 × 1.5 = 1/2 = 0.50 kg

∴ Weight per unit area = 500g

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