Question

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 1

Answer:

$a=10/7cmb=2cm$

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

$a/b=5/7$

$a=5b/7$

Now given the area of the rectangle is 140

$a*b=140$

$(5b/7)*b=140$

$b^{2}=140*7/5$

$b^{2}=4$

$b=2$

As we know that $a=5b/7$

$a=5*2/7$