Answer:
1) Equation to model the area of frame is
2) The equation is quadratic.
3) The width of picture fame is
Step-by-step explanation:
Given: Dimension of rectangular picture is 8 inches by 7 inches
Area of picture frame is 34 inches²
Solving to find the dimension of picture frame.
Assuming that picture frame has uniform width of "x".
using the area of rectangle formula to solve.
Area of frame=
Using distributive property of multiplication
⇒
Subtracting both side by 34
⇒ (quadratic equation)
Taking GCF as 2
⇒
dividing both side by 2
⇒
Solving by using quadratic formula.
Formula:
∴ In the expression , we have a= 2, b= 15 and c= 11.
Now, subtituting the value in the formula.
=
=
Opening parenthesis.
=
=
∴ x=
Hence; 1) Equation to model the area of frame is
2) The equation is quadratic.
3) The width of picture fame is