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ANEK [815]
3 years ago
12

Arif's backyard is 22 by 36 meters. He wants to put a flower garden in the middle of the backyard, leaving a strip of grass of u

niform width around the flower garden. To be happy, Arif must have 92 m² of grass. Under these conditions what will the length and width of the garden be?
Mathematics
1 answer:
KIM [24]3 years ago
5 0

Answer:

Paso 1:

Encuentra el área del patio trasero

Dado eso, el patio trasero mide 24 por 30 metros.

Área = largo x ancho

Área = 24 x 30 = 720

Por lo tanto, el área del patio trasero es de 720 metros cuadrados.

Paso 2:

Dado que el área de césped = 368 metros cuadrados

Luego, área de jardín = área de patio trasero - área de césped

área del jardín = 720 - 368

área de jardín = 352 metros cuadrados

Paso 3:

Encuentra las dimensiones del jardín

Sea "x" el ancho de la franja de césped

Entonces, las dimensiones del jardín son:

Longitud del jardín = 24 - 2x

Ancho del jardín = 30 - 2x

Luego,

área del jardín = (24 - 2x) (30 - 2x)



Factoriza el lado izquierdo

(x - 23) (x - 4) = 0

Por propiedad de factor cero,

x = 23 o x = 4

La solución x = 23 hace que las dimensiones del jardín sean negativas, por lo que la rechazamos

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