Answer:
The area will decrease by 9%.
Step-by-step explanation:
The area of a rectange is given by the formula below.
Let the original length and width of the rectangle be L and W respectively.
Start by finding the original area:
<u>Original </u><u>dimensions</u>
Length= L= 100%L
Width= W= 100%W
Original area= LW
Let's find the dimensions of the new rectangle in terms of L and W.
<u>New dimensions </u>
Length= (100% +30%)L= 130%L
Width= (100%-30%)W= 70%W
New area
= 91% LW
Comparing the new area with the original area:
100% LW- 91% LW= 9% LW
∴ The area will decrease by 9%.
*Note that percentage is equivalent to dividing a number by 100.