Question

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

The approximate cost of the banner which is charged by print shop before tax is 92.30.

What is cost price per unit?

The cost price per unit is the amount of money required to buy one uni of a brand or goods.

To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.

The length of the sides of parallelogram banner which order by Jace is 9 feet and the length of the bottom side is 12 feet.  

The length of the diagonal is 19 ft. The parimeterof the triangle made by this sides is,

$s=\dfrac{9+12+19}{2}\\s=20$

Using Heron's formula, the area of this triangle is,

$A=\sqrt{20(20-9)(20-12)(20-19)}\\A=\sqrt{20\times11\times8\times1}\\A=41.95\rm ft^2$

Now the area of the banner is,

$A=41.95\times2\\A=83.90\rm ft^2$

The print shop charges $1.10 per square foot for banners of any shape and size.Thus, the charge of the banner with area 108 square foot is,

$P=1.10\times83.90\\P=92.29\\P\cong92.30$

Thus, the approximate cost of the banner which is charged by print shop before tax is 92.30.

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