Question

Tara and Veronica are in charge of making a banner for the volleyball game this Saturday.How much poster paper will they need for a parallelogram-shaped banner with a height 3 1/2 and base 6 1/4?

Answer 1

The answer is 21 7/8.

The quantity of the paper needed is the area of parallelogram with a height 3 1/2 and base 6 1/4. The area of a parallelogram (A) is the product of its height (h) and base (b):
A = h * b

We have:

`h = 3 (1)/(2) = 3 + (1)/(2) = (3)/(1) +(1)/(2)= (3*2)/(1*2)+(1)/(2)=(6)/(2)+(1)/(2)=(7)/(2) \\ \\ b = 6 (1)/(4) = 6 + (1)/(4) = (6)/(1) +(1)/(4)= (6*4)/(1*4)+(1)/(4)=(24)/(4)+(1)/(4)=(25)/(4)`


Thus, the area of paralleogram is:

`A = b * h = (7)/(2) * (25)/(4) = (7*25)/(2*4) = (175)/(8) = (168+7)/(8) = (168)/(8) + (7)/(8) = 21+ (7)/(8)=21(7)/(8)`