Problema Solution
The area of a rectangle is 70 ft^2, and the length of the rectangle is 11 ft. less than three times the width. Find the dimensions of the rectangle.
Answer provided by our tutors
let
l = the length of the garden, l>0
w = the width of the garden, w>0
A = 70 ft^2 the area of the garden
the length of the rectangle is 11 ft. less than three times the width
l = 3w - 11
the area of the rectangle is A = l*w
l*w = 70
plug l = 3w - 11 into l*w = 70
(3w - 11)*w = 70
by solving we find
w = 7 ft
click here to see the step by step solution of the equation
l = 3*7 - 11
l = 21 - 11
l = 10 ft
the dimensions of the rectangle are: the length is 10 feet and the width is 7 feet.