SOLUTION: If the length and width of a rectangle are each increased by 10% then the
perimeter of the rectangle is increased by
(A) 1% (B) 10% (C) 20% (D) 21%
Question 248913: If the length and width of a rectangle are each increased by 10% then the
perimeter of the rectangle is increased by
(A) 1% (B) 10% (C) 20% (D) 21% Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! If the length and width of a rectangle are each increased by 10% then the
perimeter of the rectangle is increased by
(A) 1% (B) 10% (C) 20% (D) 21%
.
If L is length
and
W is width
.
Perimeter of any rectangle:
2(L+W)
.
If width and length increased by 10%:
2((1.1)L+(1.1)W)
2(1.1)(L+W)
(2.2)(L+W)
.
Percent increase:
the increase is .2(L+W)
percent is then:
.2(L+W)/2(L+W) * 100
.2/2 * 100
0.1 * 100
10%
.
Answer: B
