A portrait has dimensions of 50 inches by 60 inches and is surrounded by a frame of uniform width. If the total area (portrait p
lus frame) is 3456 square inches, find the width of the frame
1 answer:
Answer:
2 inches
Step-by-step explanation:
If x is the width of the frame, then the overall dimensions are ...
(50 +2x) by (60 +2x)
so the area is ...
3456 = (50 +2x)(60+2x)
x^2 +55x -114 = 0 . . . . . . . divide by 4, subtract the left side
(x +57)(x -2) = 0 . . . . . . . . . factor
Solutions to this are x=2 and x=57 (extraneous).
The width of the frame is 2 inches.
You might be interested in
Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:
is the total number of elements in the set
is the number of those elements you are desiring
Since there are 10 total digits, in this scenario. Since we are choosing 6 digits of the 10 for our sequence,
in this scenario. Thus, we are trying to find
. This can be found as shown:
There are 210 total combinations.