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What are the dimensions of a rectangle with an area of 72 square centimeters and a perimeter of 36 centimeters?

Respuesta :

Answer:

length=12 cm, width=6 cm

Step-by-step explanation:

[tex]lw = 72[/tex]

[tex]w = \frac{72}{l} [/tex]

[tex]2(l + w) = 36[/tex]

[tex]l + w = 18[/tex]

[tex]l + \frac{72}{l} = 18[/tex]

[tex] {l}^{2} + 72 = 18l[/tex]

[tex] {l}^{2} - 18l + 72 = 0[/tex]

[tex](l - 12)(l - 6) = 0[/tex]

[tex]l = 12[/tex]

[tex]w = 6[/tex]

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