Question

# The side length of square ABCD is twice the side length of square EFGH. If the area of square EFGH is 9 , what is the area of square ABCD ?

## The correct answer is: 36

### We know that if the length of a side of a square is, say, a unit. Then the area of the square will be a^{2} sq. unit.

Explanations:

Step 1 of 3:

Given, the area of square EFGH is 9. Then, the length of the side ((A) of the square is—

⇒ a = 3, ignoring the negative value since length cannot be negative

Step 2 of 3:

It is stated that the side length of square ABCD is twice the side length of square EFGH.

So, the side length ((B) of square ABCD is—

b = 2a = 2 × 3

⇒ b = 6

Step 3 of 3:

The area of square ABCD is— sq. unit

Final Answer:

The area of square ABCD is 36 sq. unit

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