the perimeter of a rectangle is 120 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle.
Answers
Rectangle with perimeter 120m has its length and breadth 40 m and 20 m respectively.
Dimension of rectangle : 40 × 20
Given, that perimeter of rectangle is 120 m.
Now, perimeter of rectangle is given by:
P = 2(l+b)
l = Length of rectangle .
b = Breadth of rectangle.
Let the breadth of rectangle be 'x' m.
Then length will be (x+20) m.
Substitute the values in the perimeter formula,
Thus the breadth of rectangle is 20 m.
Length of rectangle is 20 m more than the breadth.
Length = 20 + 20
Length = 40 m.
Therefore the dimensions of rectangle is 40 × 20.
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120= 2w+40+2w
120= 40+4w
80=4w
w=20
Length:
w+20
20+20
40
Width: 20
So the dimensions are:
Length is 40
Width is 20
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