If the diagonal of the rhombus get doubled then the area of rhombus become ______ its original area
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The area of the rhombus will become four times than the original area.
Answered by
53
let the diagonals of a rhombus is a and b.
area of the rhombus = 1/2 * diagonal1 * diagonal 2
=1/2 * a * b.
now, new diagonal of rhombus = 2a and 2b.
new area of rhombus = 1 /2 * 2a *2b
=2ab.
comparing areas of both rhombus = 2ab/(1/2 ab)
=4 times.
area of the rhombus = 1/2 * diagonal1 * diagonal 2
=1/2 * a * b.
now, new diagonal of rhombus = 2a and 2b.
new area of rhombus = 1 /2 * 2a *2b
=2ab.
comparing areas of both rhombus = 2ab/(1/2 ab)
=4 times.
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