Problema Solution
malik wants to frame his 10 in by 20 in diploma. He wants to add a border of width x around the entire diploma. if the total area of the diploma with the frame can be at most 600 square inches, which of the following the solution set of the border width
a) [0,5]
b) (0,5]
c) [0,20)
d) [0,20]
Answer provided by our tutors
The area of the diploma together with x inches frame around the entire diploma is:
(10 + 2x)*(20 + 2x) <= 600
By solving (10 + 2x)*(20 + 2x) = 600 we find the zeros: x1 = 5, x2 = -20
click here to see the step by step solution of the equation for x
For x = 5 we have:
(10 + 2*5)*(20 + 2*5) = 600
For x > 5 we have:
(10 + 2*5)*(20 + 2*5) > 600
The solution set is b) (0,5].