Question

The length of a rectangle is 2 times its width and its perimeter is 42 cm. A ssquare is formed by putting together 2 rectangles like this. Find the length and width of the edge and the area of this square.

"A ssquare is formed by putting together 2 rectangles like this."

Like what?

I assume you are placing two of the rectangles you describe together with long side against long side.

The original rectangle would be x by 2x and the new square would be 2x by 2x

from the original x +x+ 2x + 2x = 42

solve for x, and use that value to find the area of the square.

ok so i got 7 for the area of the square... how do i find the edge and length

the square has equal sides, the length and the width are the same:

s is side length

s<sup>2</sup> = 7
take the square root of each side.

ok i did it again and for the length and the width i got 14 and 7 how do i find the edge?

no, you got 7 for the width of the original rectange, so its length is 14

which makes the square 14 by 14 for an area of 196

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