Question

consider the diagram.
mia plans to build a fence to divide her rectangu into two triangular areas. use the diagram to find th length of fence she will need to divide the garden. round up to the nearest hundredth.
mia will need a fence that is □ meters long.

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 6\), \(b=7\), and \(c\) is the length of the diagonal (the fence).
Substitute the values: \(6^{2}+7^{2}=c^{2}\).
Calculate \(6^{2}=36\) and \(7^{2} = 49\). Then \(36 + 49=c^{2}\), so \(c^{2}=85\).

Step2: Solve for \(c\)

Take the square root of \(85\), \(c=\sqrt{85}\).
Using a calculator, \(\sqrt{85}\approx9.2195\).

Answer:

\(9.22\)