Question

Tara and Veronica are making a parallelogram-shaped banner for a football game. They will paint the entire banner except for a rectangular section where a photo of the school's mascot will be placed. The photo of the mascot has an area of 6 square feet. If a 16-ounce bottle of primer covers 24 square feet, how many bottles of paint will they need?Tara and Veronica are making a parallelogram-shaped banner for a football game. They will paint the entire banner except for a rectangular section where a photo of the school's mascot will be placed. The photo of the mascot has an area of 6 square feet. If a 16-ounce bottle of primer covers 24 square feet, how many bottles of paint will they need?

Answer 1

Answer:

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:

\begin{gathered}h = 3 \frac{1}{2} = 3 + \frac{1}{2} = \frac{3}{1} +\frac{1}{2}= \frac{3*2}{1*2}+\frac{1}{2}=\frac{6}{2}+\frac{1}{2}=\frac{7}{2} \\ \\ b = 6 \frac{1}{4} = 6 + \frac{1}{4} = \frac{6}{1} +\frac{1}{4}= \frac{6*4}{1*4}+\frac{1}{4}=\frac{24}{4}+\frac{1}{4}=\frac{25}{4}\end{gathered}h=321=3+21=13+21=1∗23∗2+21=26+21=27b=641=6+41=16+41=1∗46∗4+41=424+41=425

Thus, the area of paralleogram is:

A = b * h = \frac{7}{2} * \frac{25}{4} = \frac{7*25}{2*4} = \frac{175}{8} = \frac{168+7}{8} = \frac{168}{8} + \frac{7}{8} = 21+ \frac{7}{8}=21\frac{7}{8}A=b∗h=27∗425=2∗47∗25=8175=8168+7=8168+87=21+87=2187