Question

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a ſence around the garden to keep out animals Find the length of fencing you need to the nearest meter of TO 14 Distance (m) 2 Garden 10 2. 18 6 10 14 Distance (m) Length m

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Answer 1

Length of fence required = 39 m

Explanation:

Length of fencing around the triangular garden = perimeter of the triangle

Perimeter = AB + BC + AC

Coordinates of vertices A, B and C are,

A(13, 0), B(20, 15) and C(20, 0)

Formula to get the distance between two ordered pairs is,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2))`

AB =
`√((13-20)^2+(0-15)^2)`

=
`√(49+225)`

=
`√(274)`

= 16.55

BC =
`√((20-20)^2+(15-0)^2)`

= 15

AC =
`√((20-13)^2+(0-0)^2)`

= 7

Perimeter = 16.55 + 15 + 7

= 38.55 m

≈ 39 meters

Length of fence required = 39 meters