Mathematics
Grade9
Easy
Question
The ratio of the areas of two similar rectangles is 1:4. Find the ratio of the corresponding sides.
- 1 : 16
- 1 : 8
- 1 : 4
- 1 : 2
Hint:
We are given the ratio of the areas of a solid shape. We have to find the ratio of the corresponding sides.
The correct answer is: 1 : 2
The solid shapes are similar to each other.
The ratio of the area is 1:4
We will use similar solids theorem.
Let a and b be the corresponding sides of the shapes.
Statement: When two similar solids have length a and b then, the ratio of their areas is a2:b2
So, the ratio of their area will be
Taking the square root
The ratio of the corresponding sides of the given solids is 1:2
For such questions, we should know properties of similar solids.
