Question

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

Answer 1

$92.30 i got it right.

Explanation:

edg 2023 its right.

Answer 2

Answer: $92.30

Explanation:

Finding the area of one of the triangles formed by the diagonal,
`s=(9+12+19)/(2)=20\\\\A=√((20)(20-9)(20-12)(20-19))=4√(110)`

Therefore, the area of the entire parallelogram is
`8√(110)`.

Therefore, the cost is
`(8√(110))(1.1) \approx 92.30`