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BaLLatris [955]
3 years ago
8

7 Raja is laying tiles on a path that forms

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:

The perimeter of the garden is 400 feet.

Step-by-step explanation:

Consider the provided information,

Raja is laying tiles on a path that forms   the diagonal of a square garden. If Raja is  told that the length of the diagonal path is  100\sqrt{2}

The length of the diagonal of a square garden is 100\sqrt{2}

Let x represent the side of square.

By Pythagorean theorem we know: a^2+b^2=c^2

Where c is hypotenuse.

The diagonal of the square divides the square into two right angle triangle.

Where, the sides of the square are the legs of the triangle and diagonal is the hypotenuse of the triangle.

x^2+x^2=(100\sqrt{2})^2

2x^2=(100\sqrt{2})^2

x=100

Hence, the side of the square is 100 ft.

The perimeter of the square is 4s where s is the side of square.

4(100)=400

Hence, the perimeter of the garden is 400 feet.

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