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chubhunter [2.5K]
2 years ago
9

Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,

Mathematics
1 answer:
baherus [9]2 years ago
3 0

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

\color{hotpink}\tt \: Perímetro  \: del \:  rectángulo =\color{plum} 2 × (l + b)

Lo que significa :

=\tt 2(x + x + 5) = 74

=\tt 2(2x + 5) = 74

=\tt 4x +10 = 74

=\tt 4x = 74 - 10

=\tt 4x = 64

=\tt x =  \frac{64}{4}

\color{plum} =\tt x = 16

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

=\tt x + 5

= \tt16 + 5

\color{plum} =\tt 21 \: pulgadas

La longitud de este rectángulo = 21 pulgadas

<h2>Por lo tanto :</h2>

● Longitud del rectángulo = <em>21 pulgadas</em>

● Ancho del rectángulo = <em>16 pulgadas</em>

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