Three congruent kites are placed together edge-to-edge as shown. The bottom edge is 4x and the top edge is x. How much bigger than the perimeter of a one kite is the perimeter of the entire figure?
Just count. The entire figure has 6 small kite sides and 2 long sides. That's\[2(4x)+6(x)=14x \] One kite has 2 small sides and 2 long sides which is: \[2x+8x=10x\] The difference then becomes \(14-10x=4x\). So the large perimeter is longer by a difference of 4x than the small perimeter.
7/5 is the ratio of the perimeter which means that the larger one is 1.4 times longer. But it doesn't give us the exact difference, i.e exactly by how much is it longer? And that's the question...