A rectangle with an area of #120# #i n^2# has a length #8# inches longer than two times its width. What is the width of the rectangle?
1 Answer
Jul 1, 2016
Explanation:
Area of a rectangle with length, l and breadth, b =
Given
Area A =
#2b^2 + 8b - 120 = 0# =>
#b^2 + 4b - 60 = 0# =>
# b^2 + 10b - 6b - 60 = 0# =>
# b(b+10) -6 (b+10) = 0# =>
# (b-6)(b+10) = 0# ; =># b = 6# as#b# cannot be#-10# .
Width is