If the length of the rectangle is increased by 10% and the breadth is
reduced by 10%, then the area of the resulting rectangle
.than
the area of the original rectangle.
1 increases by 1%
2 reduces by 1%
3 does not change
4 the answer can vary
0:01
Answers
Answer:
2. Decreases by 1%
Step-by-step explanation:
Let length of the rectangle be 'l' and breath be 'b'
Area = lb
New length = l + 10% of l
= (11/10)l
New breath = b - 10% of b
= (9/10)b
New area = [(11/10)l × (9/10)b]
= (99/100)lb
= 99% of original area
Thus change in area = (100 - 99)% = 1% reduction
Thus, correct option is 2.
Given : length of rectangle increased by 10% and breadth reduced by 10%
Then the area of the resulting rectangle ___________ than the area of the original rectangle.
To Find : Fill in the blank
1) increases by 1%
2) reduces by 1%.
3) dose not change.
4) the answer can very.
Solution:
Let say original rectangle = 10L and 10B units
area = 10L * 10B = 100LB sq units
length of rectangle increased by 10% = 10L + (10/100)10L = 11L
breadth of rectangle decreased by 10% = 10B - (10/100)10B =9B
Area of resulting rectangle = 11L * 9B = 99LB sq units
Decrease in area = 100LB - 99LB = LB
% Decrease in area = (LB/100LB) * 100 = 1 %
1 % decrease in area
reduces by 1% is correct answer.
if the length of the rectangle is increased by 10% and the breadth is reduced by 10% , then the area of the resulting rectangle reduces by 1% than the area of the original rectangle.
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