Answer:
the new area is 1% smaller.
Step-by-step explanation:
the area of a rectangle is length times breadth.
let's call them a and b
Area = a × b
now, a is increased by 10%. that means it is multiplied by 11/10.
because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10
if then simmering increases by 10% it means that it is the original 100% plus 10%.
so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10
therefore the new length is
a(new) = a(old)×11/10
in exactly the same way, when the breadth is reduced by 10% we get then
breadth(new) = breadth(old)×9/10
so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10
remember, Area(old) = a(old)×b(old)
so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =
= Area(old) × 11/10 × 9/10 =
= Area(old) × 99/100
that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%
