what happens to the area of a rectangle when (i) its lenght is doubled, the breadth remaining the same (ii) its breadth is doubled, the length remaining the same (iii) its length and breadth are both doubled?
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Step-by-step explanation:
Let the length and breadth of the rectangle be l, b respectively
Area of rectangle (A) = length * breadth = l * b
(i) its length is doubled, the breadth remaining the same
l = 2l
new area (A') = 2l * b = 2(l*b) = 2 (A)
if the length is doubled, the breadth remaining the same, the Area becomes two times
(ii) its breadth is doubled, the length remaining the same
b = 2b
new area (A') = l * 2b = 2(l*b) = 2 (A)
if the breadth is doubled, the length remains the same, the Area becomes two times
(iii) its length and breadth are both doubled
l = 2l and b = 2b
new area (A') = 2l * 2b = 2*2(l*b) = 4(A)
if the length and breadth are doubled, the Area becomes four times
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