the length of a rectangle is twice its breadth .if its perimeter is 30cm ,find the area of the rectangle
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Answered by
3
l=2b
P = 30
therefore,
P = 2(l+b)
= 2l+2b
= 6b
and b = 5cm
so l = 10cm
and area = 10 × 5
= 50 cm square
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Answered by
4
Let the breadth be 'x'cm
and the length be '2x'cm
or, 2(l+b) = 30 cm
or, 2(2x+x) = 30 cm
or, 2(3x) = 30 cm
or, 6x = 30 cm
or, x = 30/6 cm
or, x = 5 cm
Therefore, breadth = 5 cm
Then, Length = 2x
= (2×5)cm
= 10cm
Therefore, Area of a rectangle = (length×breadth)sq.unit
= (10×5)cm²
= 50cm²
The breadth of the rectangle is 5cm and the length of the rectangle is 10cm and the Area is 50cm²
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