The area of sofia’s herb garden is 1/8 the area of her vegetable garden. the area of her herb garden is 6 square feet. what is the area of her vegetable garden?

Respuesta :

Answer:

Area of Sofia's vegetable garden is 48 square feet.

Step-by-step explanation:

Area of Sofia's herb garden = 6 square feet

Also area of Sofia's herb garden = 1/8 times the area of her vegetable garden

Therefore, mathematically,

Also area of Sofia's herb garden = 1/8 x the area of her vegetable garden

6 =1/8 x the area of her vegetable garden

6 x 8 = the area of her vegetable garden

48 = the area of her vegetable garden

Therefore, the area of Sofia's vegetable garden is 48 square feet.

Area of Sofia's herb garden is [tex]\frac{1}{8}[/tex] the area of her vegetable garden.

Let the area of her vegetable garden = [tex]A[/tex] square feet

Therefore, area of the herb garden = [tex]\frac{1}{8}[/tex] of [tex]A[/tex]

                                                           = [tex]\frac{A}{8}[/tex]

Since, area of her herb garden = [tex]6[/tex] square feet

Therefore, [tex]6=\frac{A}{8}[/tex]

[tex]6\times 8=\frac{A}{8}\times 8[/tex]

[tex]A=6[/tex] square feet

Area of Sofia's vegetable garden is [tex]6[/tex] square feet.

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