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

Question

2 years ago

14

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

1 answer:

Rama09 [41] · Answer 1 · 2023-03-12T02:42:06+03:00

The length of the diagonal is the hypotenuse of the fence

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

<h3>How to determine the length of the wood?</h3>

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