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Jace ordered a banner in the shape of a parallelogram from a print shop.

A parallelogram is shown. The length of the sides are 9 feet, and the length of the top and bottom sides are 12 feet. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 19 feet.

Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

The print shop charges $1.10 per square foot for banners of any shape and size. What is the approximate cost of the banner before tax?
$41.95
$46.14
$83.90
$92.30

Respuesta :

Medunno13

Answer: $92.30

Step-by-step explanation:

Finding the area of one of the triangles formed by the diagonal,[tex]s=\frac{9+12+19}{2}=20\\\\A=\sqrt{(20)(20-9)(20-12)(20-19)}=4\sqrt{110}[/tex]

Therefore, the area of the entire parallelogram is [tex]8\sqrt{110}[/tex].

Therefore, the cost is [tex](8\sqrt{110})(1.1) \approx 92.30[/tex]

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