please help me. The photo above shows the question.80% of the picture frame is glass a photo shows a picture frame of length 10 3/4 inches of width 8 1/2 inches, hanging on the wall. The border of the frame is labeled with molding what is the area of the molding?

please help me The photo above shows the question80 of the picture frame is glass a photo shows a picture frame of length 10 34 inches of width 8 12 inches hang class=

Respuesta :

The area of the moulding is;

[tex]18\frac{11}{40}in^2[/tex]

Here, we want to get the area of the moulding

From the question, we are told that the 80% of the frame is a glass photo

What this mean is that 20% of the picture frame will be that of the moulding

Mathematically, by calculating 20% of the area of the frame, we get the area of the moulding

As we can see that the frame is a rectangular shape, the area is the product of its length and its width

We have this as;

[tex]\begin{gathered} 10\frac{3}{4}\times8\frac{1}{2} \\ =\text{ }\frac{43}{4}\times\frac{17}{2}\text{ = }\frac{731}{8\text{ }}in^2 \end{gathered}[/tex]

The area of the moulding is 20% of this which is the same as one-fifth or 1/5

we have this as;

[tex]\begin{gathered} \frac{731}{8}\text{ divided by 5} \\ \\ =\text{ }\frac{731}{8}\text{ }\times\text{ }\frac{1}{5}\text{ = }\frac{731}{40}\text{ = 18}\frac{11}{40\text{ }}\text{ square inches} \end{gathered}[/tex]