Answer: 25%
Step-by-step explanation:
Given: A rectangle has length 4 inches and width 2 inches.
Area = Length x width
= 4 inches x 2 inches
= 8 square inches
If length is reduced by 50% , then length [tex]=0.5\times4=2\text{ inches}[/tex]
If width is reduced by 50% , then length [tex]=0.5\times2=1\text{ inch}[/tex]
Reduced area = (reduced length) x (reduced width)
= 2 inches x 1 inch
= 2 square inches
The percentage of the area of the rectangle be reduced :-
[tex]\dfrac{\text{Reduced area}}{\text{Original area}}\times100 \\\\=\dfrac{2}{8}\times100\% \\\\=25\%[/tex]
Hence, the percent of the area of the rectangle be reduced = 25%
