The breadth of a rectangle is one third of its length and perimeter is 80 cm. find the length and area of the rectangle
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Answer:
Area of rectangle = Length * Breadth
Let length be = X
and breadth = 1/3x ( given )
Perimeter = 2 ( length + breadth ) = 80
2 ( x + 1/3 x) = 80
2 ( 3x + x / 3) = 80
2 ( 4x/3) = 80
4x/3 = 80/2
4x / 3 = 40
x = 40 * 3 / 4
x = 30
Length = x = 30 cm
Breadth = 1/3x = 1/3 * 30 = 10cm
Now area = length * breadth
30 * 10 = 300cm²
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