Solve the system graphically.
-A picture frame has a perimeter of $52 \mathrm { in }$. and a diagonal of $\sqrt { 410 } \mathrm { in }$. What are the dimensions?
A) 8 in. by 19 in.
B) 7 in. by 18 in.
C) 7 in. by 19 in.
D) 8 in. by 20 in.

Question

Quizplus · Accepted Answer

The perimeter equation is $2x + 2y = 52$, simplifying to $x + y = 26$. The diagonal equation is $\sqrt{x^2 + y^2} = \sqrt{410}$, simplifying to $x^2 + y^2 = 410$. Solving these equations, $x = 7$ and $y = 19$ satisfy both equations.

Solve the System Graphically 52in52 \mathrm { in }52in and a Diagonal Of Picture

Solve the System Graphically $52 \mathrm { in }$ and a Diagonal Of Picture