Question

A square gate has a wooden brace across the diagonal. The perimeter of the gate is 20 feet. What is the approximate length of the brace?

Answer 1

Answer:

7 feet (approx.)

Step-by-step explanation:

Lets first note down the basics clearly,

Given: A square with perimeter = 20 feet

To find: The diagonal of the square.

Solution:

perimeter of square = 4(side)

20 = 4(side)

20/4 = side

5 feet = side

Now,

Diagonal of a square = $\sqrt{2}$ (side)

Diagonal of a square =  5$\sqrt{2}$

Diagonal of a square = 7.071 feet or 7 feet  (approx.)

Therefore, the approximate length of the brace is 7 feet.

HOPE IT HELPS :)

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