Area question -- pentagon-shaped!

Question

A hotel uses pentagonal-shaped name tags with the dimensions labeled below.

The image shows a pentagon-shaped tag that has a width of 2 inches and a side length of 3 inches. The opposite side of the length measures 3.5 inches that measures all the way to the top of the triangle point of the pentagon shape.

How many square inches of material are needed to print 1,000 name tags?

A. 6,250 in.²

B. 6,500 in.²

C. 6,750 in.²

D. 7,000 in.²

Answer 1

Hi A. J.,

I'll assume that the pentagon has the overall shape of a rectangle of 2 '' x 3 " with an isosceles triangular cap on one end of base 2" and height 0.5".

You should be able to take it from there? Figure one tag, then x 1000.

-- Cheers, -- Mr. d.