SOLUTION: If the length of a rectangle is increased by 40% and the breadth is reduced by 20%, what will be the effect on its area?

Algebra.Com
Question 1089677: If the length of a rectangle is increased by 40% and the breadth is reduced by 20%, what will be the
effect on its area?

Found 3 solutions by math_helper, rothauserc, MathTherapy:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

A = L*W
If L' = 1.4L and W' = 0.8W then A' = (1.4L)*(0.8W) = 1.12A

The new area is 12% greater than the original.


Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
Area = l * w, l is length and w is width
:
new area = (l +0.40l) * (w -0.20w)
:
new area = lw +0.40lw -0.20lw -0.08lw
:
new area = lw +0.12lw
:
**************************************
the new area increases by 0.12 or 12%
**************************************
:

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If the length of a rectangle is increased by 40% and the breadth is reduced by 20%, what will be the
effect on its area?
New area = 1.12LB, so effect is:  

RELATED QUESTIONS

Length of a rectangle is greater than its breadth by 3 CM if the length is increased by 9 (answered by josgarithmetic)
The area of a rectangle gets reduced by 8 sq. metre, if its length is reduced by 5 metre... (answered by lwsshak3)
The length and breadth of a field are 20 m and 10 m respectively. If its length is... (answered by dkppathak)
If the length of a given rectangle is increased by 3 inches and the breadth is reduced by (answered by josgarithmetic)
if the length of the rectangle is reduced by 5 units and its breadth is increased by 3... (answered by ankor@dixie-net.com,ikleyn)
The length of a rectangle exceeds its breadth by 7 ems. If the length is decreased by 4... (answered by josgarithmetic)
The length of a rectangular plot of land exceeds its breadth by 23m.if the length is... (answered by Boreal)
The length of a rectangular plot of land exceeds its breadth by 23m.if the length is... (answered by Fombitz)
Length of a rectangle is increased by 6%. What will be the increase in breadth if the... (answered by macston)