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El borde externo del marco de madera de un espejo cuadrangular tiene 96 cm de perímetroy la parte interna de dicho marco tiene un perímetro de 72 cm. ¿Cuál es el área del marcode madera?

Sagot :

The area of a wooden frame is expressed as 252cm²

The formula for calculating the perimeter of a square is expressed as:

P = 4L where

L is the side length of a square

For the outer edge of the wooden frame with a perimeter of 96cm

96 = 4L

L = 96/4

L = 24 cm

Area of the outer wooden frame = 24² = 576cm²

Similarly for the inner edge of the wooden frame with a perimeter of 72cm

72 = 4L

L = 72/4

L = 18 cm

Area of the inner wooden frame = 18² = 324cm²

Area of the wooden frame = Area of the outer frame - Area of the inner frame

Area of the wooden frame = 576 - 324

Area of the wooden frame = 252cm²

Hence the area of a wooden frame is expressed as 252cm²

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