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a vegetable garden and a surrounding path are shaped like a square that together are 10ft wide. the path is 1ft wide. find the area of the path

Respuesta :

Answer: The area of the path=[tex]36\ ft^2[/tex]

Step-by-step explanation:

Given: The side length of square garden included the path= 10 ft

Then the area of the field which included both gardens and path= [tex]10\times10=100\ ft^2[/tex]

The width of the path = 1 ft

Therefore, the side of square vegetable garden = 10-2=8 ft

The area of vegetable garden =[tex]8\times8=64\ ft^2[/tex]

Therefore, the area of the path=[tex]100-64=36\ ft^2[/tex]

Answer:

The answer is 36 square feet.

Step-by-step explanation:

As it is a square so we will find the area as = side x side

Together the garden and a surrounding path are 10 feet wide.

Area will be = [tex]10\times10=100[/tex] square feet

The path is 1 feet wide.

So, at both ends it becomes 2 feet

The dimension of the garden is = [tex]10-2=8[/tex] feet

And area is = [tex]8\times8=64[/tex] square feet

So, area of the path alone = [tex]100-64=36[/tex] square feet.

Hence, the answer is 36 square feet.