Question

trick question
Three congruent kites are placed together edge-to-edge as shown. The bottom edge is 8x and the top edge is 5x. How much bigger than the perimeter of one kite is the perimeter of the entire figure?
i get 10 x
is there another way of figuring out the answer

Answer 1

all 5x's are equal and so 8x's

Answer 2

if you look at one kite, its perimeter is:

p = 2(5x) + 2(8x)

whenever you add one kite to its right, you cover up one of the long edges i.e. you take away an 8x, but you also add another 8x. to -8x + 8x = 0 which means the longer edges have no effect on the total perimeter.
however, when adding one kite to the right you also add 2(5x) to the perimeter.

so, for each kite, you effectively add on 2(5x) to the perimeter.
so each kite adds 10x to the perimeter.

you have 2 kites added on, so extra addition to perimeter would be?

Answer 3

28

Answer 4

remember each kites adds 10x to the perimeter

Answer 5

one kite adds 10x to the perimeter
two kites adds ??? to the perimeter

Answer 6

20x

Answer 7

correct

Answer 8

thx

Answer 9

yw