the correct question is <span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?
we know that Perimeter of a rectangle=2*[length + width] length=(4a+3b) width=3a-2b so P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b
the answer part a) is A polynomial for the perimeter of the rectangle is P=14a+2b
Part b) for a=12 P=14*12+2b---------> P=168+2b <span>the minimum perimeter of the rectangle is for b=1 </span>so P=168+2*1-----> P=170 units
the answer part b) is the minimum perimeter of the rectangle is 170 units
Katalin drove 300 miles on her vacation. She drove an average of 1.9 times faster on the second 150 miles of her trip than she did on the first 150 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip.
