Question

A child draws a square with a length of 4 4 centimeters. Their friend draws another square with a length twice that of the child's square. What is the ratio of the area of the two figures?

Answer 1

Answer: 1:4

the area of the first child’s square is 4 x 4= 16cm(2)

The length of the second square is double the first ones meaning it’s 8cm, and the area of it is 8 x 8= 64cm(2)

Now we can write this as a ratio
16:64 and all we have to do is simplify it ( by finding the biggest common divisor) both numbers divide by 16 and we end up with

1:4

Answer 2

4:1

Explanation:

The ratio of the areas is the square of the scale factor of the side lengths.

scale factor of the side lengths = 2

ratio of areas = 2² = 4

second square to first square side length ratio = 2:1

second square to first square area ratio = 4:1