Solve the following problems:

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, then what is the area of the triangle?

Created: 5 months ago | Updated: 2 weeks ago

Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ব্যাংক ।। অফিসার জেনারেল (31-03-2023) || 2023 গণিত

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According to the Question,

a√2 = 12√2

⇒ a = 12 cm

So, Perimeter of Square = (4 × 12 ) = 48 cm

So, Each sides of Triangle = $\frac{1}{3}$ of 48 = 16 cm

Area of Triangle = $\frac{1}{2}$ × 16 × 8√3 = 64√3 (Ans)

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A brother and a sister share out their collection of 5,000 stamps in the ratio of 5 : 3. The brother then shares his stamps with two friends in the ratio of 3 : 1 : 1 keeping most for himself. How many stamps does each of his friends receive?

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Job Solution Combined Bank (সমন্বিত ব্যাংক) Combined 5 Banks || Officer (Cash) (28-05-2022) || 2022 গণিত

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If the length of the two sides of a trapezoid are 4cm and 7cm and height of the trapezoid is 7cm, calculate the area of the trapezoid.

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40% of the students of a class failed in statistics and 35% of students failed in computer studies. If the class size is 200 and 70 students failed in neither of the subjects, then how many students failed in both the subjects?

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The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?

Created: 5 months ago | Updated: 2 weeks ago

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$i f \frac{x^{2} - 7 x + 12}{x^{2} + 4} = 3$ , calculate the value of x.

Created: 5 months ago | Updated: 2 weeks ago

Job Solution Combined Bank (সমন্বিত ব্যাংক) Combined 5 Banks || Officer (Cash) (28-05-2022) || 2022 গণিত

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Solve the following problems:

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, then what is the area of the triangle?

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