Connect with knowledgeable individuals and get your questions answered on IDNLearn.com. Get the information you need from our community of experts, who provide detailed and trustworthy answers.
We have the following:
55 inches indicates the diagonal of the TV, therefore:
let x a side A
let y a side B
[tex]\begin{gathered} 3x=4y \\ x=\frac{4}{3}y \end{gathered}[/tex]now, with the Pythagorean theorem
[tex]\begin{gathered} 55^2=x^2+y^2 \\ 3025=(\frac{4}{3}y)^2+y^2 \\ 3025=\frac{16}{9}y^2+y^2 \\ \frac{25}{9}y^2=3025 \\ y=\sqrt[]{3025\cdot\frac{9}{25}} \\ y=\sqrt[]{1089} \\ y=33 \end{gathered}[/tex]for x:
[tex]\begin{gathered} x=\frac{4}{3}\cdot33 \\ x=44 \end{gathered}[/tex]Side A= 44 in
Side B = 33 in
The area:
[tex]a=A\cdot B=44\cdot33=1452[/tex]The answer is 1452 inches squared, the option B
