Problema Solution
Janna has finished weaving a blanket. She wanted the length of the blanket to be 1 foot greater than twice its width, because otherwise her toes get cold. If the area covered by the blanket is 28 square feet, how long is the blanket?
Answer provided by our tutors
let
l = length of the blanket, l>0
w = width of the blanket, w>0
the length of the blanket to be 1 foot greater than twice its width
l = 1 + 2w
the area covered by the blanket is 28 square feet
since the are of rectangle = length * width and the blanket is a rectangle we have
l*w = 28
by solving the system of equations
l = 1 + 2w
l*w = 28
we find
l = 8 ft
w = 3.5 ft
the blanket is 8 ft long.