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If the perimeter of a rectangle is equal to perimeter of equilateral triangle. The one side of triangle is 4cm and breadth of rectangle is 3. Find the area of square.

Options

100 cm sq.
50 cm sq.
9 cm sq.
14 cm sq. ​

Respuesta :

Answer:

Option : 9cm sq.

Step-by-step explanation:

Perimeter of equilateral ∆= perimeter of rectangle

side of ∆ = 4cm

perimeter of equilateral ∆ = 3 ( side) which is = 3 (4cm)

= 12cm

when, perimeter of rectangle = 12 cm

breadth = 3cm

length =?

since, perimeter = 2 ( l + b)

12 = 2 ( l + 3 )

12/2 = l + 3

6 = l + 3

therefore, length = 3cm

Area of square = (side)^2

Side = 3cm

Area = 9cm sq.
9 cm sq that is the answer

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