posted by kyle on .
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."
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
s2 = 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