Suppose rectangles x and y are similar. Rectangle x is 5 centimeters by 7 centimeters. The area of rectangle y is 140 square centimeters what are the dimensions of rectangle y

Answer:[tex]a=10/7cmb=2cm[/tex]Step-by-step explanation:Similar rectangles are defined as a property of being similar or equal. The symbol used for similar is ||. Similar rectangles are described as the rectangles that are exact same shape but are dissimilar sizes. Two similar rectangles if the lengths of their corresponding sides form a proportion. A proportion means the fraction of value a and b. That is, a proportion is expressing in the way of a/b.Now for rectangle x the ratio is 5/7. which is same for rectangle y.let the dimensions of rectangle y be a, b. Now[tex]a/b=5/7[/tex][tex]a=5b/7[/tex]Now given the area of the rectangle is 140[tex]a*b=140[/tex][tex](5b/7)*b=140[/tex][tex]b^{2}=140*7/5[/tex][tex]b^{2}=4[/tex][tex]b=2[/tex]As we know that [tex]a=5b/7[/tex][tex]a=5*2/7[/tex]