SAT math
posted by Anonymous
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.

Steve
the area LW is changed to
(.90L)(1  x/100)W = 0.675LW
.9(1x/100)=0.675
1x/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)
Respond to this Question
Similar Questions

math
a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x … 
algebra , help
Can someone help me set up the equations thanks. Directions: Solve each of the following applications. Give all answers to the nearest thousandth. Problem: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal … 
math
the length of a rectangle is 1 cm less than twice its width. the area is 28 cm squared. find the dimensions of the rectangle. Just translate the English into "math" "the length of a rectangle is 1 cm less than twice its width" l=2w1 … 
MATH
THE LENGTH OF A RECTANGLE IS 3M MORE THAN 2 TIMES ITS WIDTH. IF THE AREA IF THE RECTANGLE IS 99CM^2, FIND THE DIMENSIONS OF THE RECTANGLE TO THE NEAREST THOUSANDTH. If L = length and W = width, L = 2W + 3 and LW = 99 Substitute and … 
Math!
A rectangle is 15cm x 12cm. If the length is reduced by R cm and its width is increased by R cm. Its area is reduced by 4cm^2. 
Algebra/geometry
a rectangle has a width of 4 cm less than it's length. if a new rectangle is formed by increasing the width 5 cm and decreasing the length 3 cm, the area of this resulting rectangle is 177 cm squared. what are the dimensions of the … 
math
the dimensions of a rectangle are such that its length is 3 inches more than its width. if the length were double and if the width were decreased by 1 inch, the area would be increased by 66inches ^2. What are the length and width … 
mathematics
the lenght of a rectangle is twice its width.If the width is reduced by 1cm and the lenght is also reduced by 2cm,the area will be 15cm(square).Find the dimensions of the original rectangle. 
Maths
The area of a rectangle of width ycm is 140cm^2. If the width is reduced by 2cm, the length increases by 3cm, and the area decreases to 136cm^2 to form an equation that enables you to determine the value of Y and hence, find the diagonal … 
maths
the width of a rectangle is increased by one tenth, but the area remains the same. by what fraction has the length of the rectangle been reduced?