say whether true or false ( with explaination )
if a rectangle is twice as long as
it is broad and its length is 1.2m, its area is 7200 sq cm
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Answer:
Solution:
Let the width of the given rectangle = x M, then
The length of the given rectangle = x M
We know, area of the rectangle = width X length
=> Area of the rectangle = x X 2x
=> Area of the rectangle = 2 x^2
Area of the given rectangle = 14450 M^2
=> 2 x^2 = 14450
=> (2 x^ 2 ) / 2 = 14450 / 2
=> x^2 = 7225 = (85)^2
Taking square root of both sides, we get
=> x = +-(85)
Length always be positive, therefore
=> x = 85
We know, perimeter of the rectangle = 2 ( width + length )
=> Perimeter of the rectangle = 2(x + 2x ) = 2 ( 3x) = 6x
Put x = 85 , we have
=> Perimeter of the rectangle = 6(85)
=> Perimeter of the rectangle = 510 M Answer
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