Answer:
Width of Frame = 1.5 inches
Step-by-step explanation:
The area of the picture is 4 by 6, or
4 * 6 = 24
The frame is same width all sides, let that width of frame each side be "x".
So,
Width of frame (and pic) = 4 + x + x = 4 + 2x
Height of frame (and pic) = 6 + x + x = 6 + 2x
Total area of frame and pic is 63, so we can write:
[tex](4+2x)(6+2x)=63[/tex]
Now, we multiply and solve for "x":
[tex](4+2x)(6+2x)=63\\24+8x+12x+4x^2=63\\4x^2+20x+24=63\\4x^2+20x-39=0\\x=-6.5,1.5[/tex]
We disregard -6.5 since width can't be negative. So, we conclude:
Width of Frame = 1.5 inches
