Question

and parallel sides of length 17 cm and 25 cm. How many trapeziums are
8. The pattern of the iron grills of a window, of area 3.78 m², is in the shape of trapeziums of height 8 cm,
length of the non-parallel sides.
there in the grill pattern?
9. If AR​

Answer 1

Correct Question :-

The pattern of the iron grills of a window, of area 3.78 m², is in the shape of trapeziums of height 8 cm and and parallel sides of length 17 cm and 25 cm. How many trapeziums are there in the grill pattern?

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Given:-

• Total Area of grill = 3.78m² → 37800cm²

• Height of Trapezium = 8cm.

• Length of Parallel Sides = 17cm and 25cm

To Find:-

• Number of Trapezium in grill Pattern.

Formulae used:-

• Area of trapezium = ½ × Sum of Parallel sides × Height

Now,

→ Area of each trapezium = ½ × Sum of Parallel sides × Height

→ ½ × 17 + 25 × 8

→ ½ × 42 × 8

→ 42 × 4

→ 168cm²

Therefore, The Area of each trapezium is 168cm²

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Now,

→ Area of grill = 37800cm²

→ Area of each trapezium = 168cm²

→ No. of trapezium in grill = 37800/168

→ 225

Hence, There are 225 trapezium in grill.

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