MATH
posted by NEED HELPPPPPPPPPPPPPPPP .
rectangle ABCD is similar to rectangle wxyz , with AB corresponding to wx. if AB=24,BC=30 and wx=16 , what is the area of the rectangle wxyz

the ratio of areas of similar figures is proportional to the square of their corresponding sides
area of ABCD = 24(30) = 720
WXYZ/720 = 24^2/16^2
solve for WXYZ 
The sides should be proportional if they are similar, thus, since AB corresponds with wx, and Ab is 24 while wx is 16, 24/16=1.5 . So ABCD is 1.5 times bigger than wxyz. the other side is 30, CD, is 1.5x bigger than yz, so find that and get the area by multiplying. or u can do a proportion. 24/30=16/x. x=20, which when x by 1.5 is 30

the ratio of the areas is NOT 1.5 : 1
it is 24^2 : 16^2 = 9 : 4
the area of the larger is 720 (see above)
so the area of the smaller is 4/9(720) = 320
You yourself found XY to be 20
so the area of the other rectangle is 16(20) = 320 
Rectangle ABCD is similar to rectangle WYYZ.
Uf tge the area of rectangle ABCD is 90 square inches, what is the area of rectangle WXYZ?
Respond to this Question
Similar Questions

math
There is on large rectangle ABCD, top line is AD and bottom is BC. A line is drawn from the top to bottom called GH. A line is drawn from left to right called EF. AEFG is Rectangle 1. EBHF is Rectangle 2. GHCD is Rectangle 3. All three … 
geometry
rectangle ABCD is similar to rectangle wxyz , with AB corresponding to wx. if AB=24,BC=30 and wx=16 , what is the area of the rectangle wxyz 
math
Apply the rule (3x,3y) to the vertices of rectangle ABCD to get rectangle WXYZ. 
Math
A square with a side of 4 has an area that is 80% of rectangle WXYZ. What is the area of rectangle WXYZ? 
Math
a.)If ABCD is a parallelogram, then ABCD is (always true, sometimes true, OR never true) a rectangle. b.)The diagonals of a square (always true, sometimes true, OR never true) bisect each other. c.)If WXYZ is a rectangle, then the … 
geometry
rectangle a is similar to smaller rectangle b. the scale factor is 5/3. if the area of rectangle a is 150 square inches, what is the area of rectangle b? 
Math
Rectangle ABCD is similar to rectangle EFGH. If rectangle ABCD has sides that are 7 times greater than those of rectangle EFGH, what is the relationship between the perimeters of the rectangles? 
math
Figure WXYZ is a rectangle with a semicircle added to its base. What is the perimeter of figure WXYZ? 
Geometry
What is the area of rectangle wxyz with vertices w(0,1),x(3,4),y(1,8) z (4,5) to the nearest unit? 
maths
Rectangle ABCD and WXYZ are such that AB=5cm BC=15cm wX=8cm XY=18cm Is ABCD similar to WXYZ?