The length of a rectangle was reduced by 10% and the width by x%. If the resulting dimensions reduced the area by 32.5%, what is the value of x?

A) 25
B) 21
C) 18
D) 13
I don’t know what to do at all.

1 answer

the area LW is changed to
(.90L)(1 - x/100)W = 0.675LW
.9(1-x/100)=0.675
1-x/100 = 0.75
x/100 = .25
x = 25

or, you could just have said
.9*z=.675
z=.75
so the width was 75% of its original size

so, (A)
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