The perimeter of a rectangle is 10 inches, and its area is 6 square inches. Find the length and width of the rectangle?
2 Answers
Length 3 units and width 2 units.
Explanation:
Let the length be
Since perimeter is 10, it implies that
Since the area is 6, it implies that
We may now solve these 2 equations simultaneously to obtain :
Solving for x in this quadratic equation we get :
If
If
Usually the length is considered to be longer than the width, so we take the answer as length 3 and width 2.
If 'l' and 'b' are the length and breadth of a rectangle respectively then
So,
So
Therefore,
Out of the 2 values of l, one is the length and the other is the breadth.