Question

bellamy is building a gate to put on a fence. the gates measurements are 7 feet by 7 feet a diagonal wooden brace is going to be attached to keep the gate rigid what is the length of wood bellany needs to cut for the brace leave your answer in simplified radical form

Answer 1

The length of the diagonal is the hypotenuse of the fence

The length of the wood is $7\sqrt{ 2$ yards

How to determine the length of the wood?

The dimensions of the fence are:

7 ft by 7 ft

The length (L) of the diagonal is calculated using:

$L = \sqrt{a^2 + b^2$

This gives

$L = \sqrt{7^2 + 7^2$

Express as products

$L = \sqrt{7^2 * 2$

Express as radical

$L = 7\sqrt{ 2$

Hence, the length of the wood is $7\sqrt{ 2$ yards

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