Word equations are hard: What fraction of the rectangle's area is the square's area?

The perimeter of a square with a side of 4 inches is equal to the perimeter of a rectangle with a height of 3 inches. What fraction of the rectangles area is the squares area?

I know that the square perimeter is 16, because of all sides being equal.

I can't find the perimeter of the rectangle.

GRADUATE said:

The perimeter of a square with a side of 4 inches...

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What then is the perimeter of the square? (Hint: Multiply by 4.)

And what is the area of the square? (Hint: Square the side length.)

GRADUATE said:

...is equal to the perimeter of a rectangle with a height of 3 inches.

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What then is the perimeter of the rectangle? (Hint: Copy from above.)

What then must be the width of the rectangle? (Hint: Subtract the two heights.)

Also, what is the area of the rectangle? (Hint: Multiply.)

GRADUATE said:

What fraction of the rectangles area is the squares area?

Click to expand...

What fraction did you create? What simplified fraction did you end up with?

Please be complete. Thank you!

GRADUATE said:

The perimeter of a square with a side of 4 inches is equal to the perimeter of a rectangle with a height of 3 inches. What fraction of the rectangles area is the squares area?

I know that the square perimeter is 16, because of all sides being equal.

I can't find the perimeter of the rectangle.

Click to expand...

The problem says "The perimeter of a square with a side of 4 inches is equal to the perimeter of a rectangle with a height of 3 inches."

You've determined that the perimeter of the square is 16 inches....and that is correct.

Now, the rectangle has the same perimeter as the square, so it looks like you KNOW the perimeter of the rectangle now.

Can you continue with the problem?