Given:
Two similar rectangles.
To find:
The area of the larger rectangle.
Solution:
Let x be the other side of the larger rectangle.
Corresponding sides of similar figures are always congruent.


The other side of larger rectangle is 2 cm.
We know that, area of rectangle is

So, area of the larger rectangle is


Therefore, the area of the larger rectangle is 8 sq. cm.
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By solving the equation
1/2 +x =4/7
x = 4/7 -1/2
x= 1/14