Question

Consider the diagram.

2 triangles are connected at their hypotenuse to form a rectangle. The rectangle has a length of 7 meters and width of 6 meters.

Mia plans to build a fence to divide her rectangular garden into two triangular areas. Use the diagram to find the 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.

Answer 1

The length of fence she will need to divide the garden is 9.22 m.

What is a Rectangle?

A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.

Pythagoras Theorem

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

Let us consider the length of the fence be 'x'  

Using Pythagoras Theorem,

x² = 6² + 7²

$x^{2} =36+49\\x^{2} = 85$

x = 9.22 m

So, the length of fence is 9.22 m.

Learn more about rectangle here:

brainly.com/question/2687959

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