Problema Solution
The length of a rectangle is 6 meters more than the width. The area of the rectangle is 40 square meters. Find the length and width of the rectangle.
Answer provided by our tutors
Let
w = the width of the rectangle and w>0
l = the length of the rectangle and l>0
The length of a rectangle is 6 meters more than the width:
l = 6 + w
The area of the rectangle is 40 m^2 and Area of rectangle = width*length
l*w = 40
We have the following system of equations:
l = 6 + w
l*w = 40
Plug l = 6 + w into l*w = 40:
(6 + w)*w = 40
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click here to see the quadratic equation solved for w
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w = 4 m
l = 6 + 4
l = 10 m
The length is 10 m and the width is 4 m.