Asked by Francesco
A photo measures 10cm by 8cm. if you wish to increase each picture of the side uniformly by such that the area increased by 75%, what will the new dimensions be
Answers
Answered by
Reiny
let x be the increase , assuming we increase only on one side.
(10+x)(8+x) = 1.75(80)
80 + 18x + x^2 = 140
x^2 + 18x - 60 = 0
let's complete the square ...
x^2 + 18x + 81 = 60+81
(x+9)^2 = 141
x+9 = ±√141
x = appr 2.87 cm or some inadmissible negative
the new dimension is 12.87 cm by 10.87 cm
check:
new area = 12.87..(10.87..) = 140
(I carried the full answer in my calculator)
which is a 75% increase
(10+x)(8+x) = 1.75(80)
80 + 18x + x^2 = 140
x^2 + 18x - 60 = 0
let's complete the square ...
x^2 + 18x + 81 = 60+81
(x+9)^2 = 141
x+9 = ±√141
x = appr 2.87 cm or some inadmissible negative
the new dimension is 12.87 cm by 10.87 cm
check:
new area = 12.87..(10.87..) = 140
(I carried the full answer in my calculator)
which is a 75% increase
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.