Question

Given that the area of the smaller square is 10cm2 .find the area of the larger square.

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Answer 1

The calculated area of the bigger square is 22.5 square cm

How to determie the area of the larger square

From the question, we have the following parameters that can be used in our computation:

The square

Where, we have

Area of smaller square = 10 cm²

Using the above as a guide, we have the following:

Area of bigger square = Area of smaller square * Scale factor²

In this case, we have

Scale factor = 1.5

Substitute the known values into the equation

Area of bigger square = 10 * 1.5²

Evaluate

Area of bigger square = 22.5

Hence, the area of the bigger square is 22.5 square cm

Answer 2

Area of Larger square is
`20cm^2`.

Explanation:

Given:

Area of smaller Square =
`20cm^2`.

Now to remove diagonal of smaller square we will use below formula.

Area of smaller circle =
`(1)/(2)* diagnol^2`

`(1)/(2)* diagonal^2 =10\\ diagonal^2=10* 2\\ diagonal^2=20\\diagonal=√(20) = √(4*5)=√(2^2* 5)=2√(5) \ cm`

Now diagonal of smaller square = diameter of circle=
`2√(5) \ cm`

Also diameter of circle = side of larger square =
`2√(5) \ cm`

hence area of larger square =
`side^2` =
`(2√(5))^2=20 \ cm`

Area of Larger square is
`20cm^2`.