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
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
4 answers
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
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?
Uf tge the area of rectangle ABCD is 90 square inches, what is the area of rectangle WXYZ?
4 answers