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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?

Three congruent kites are placed together edge-to-edge as shown. The bottom edge is-example-1

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Answer: Perimeter of entire figure is 4x bigger than the perimeter of one kite


Explanation:

Given: Three congruent kites are placed together edge-to-edge.

The bottom edge is 4x and the top edge is x.

∴Perimeter of one kite =x+x+4x+4x=10x

Perimeter of entire figure=4x+x+x+x+x+x+x+4x=14x

Clearly 14x>10x

i.e.Perimeter of entire figure>Perimeter of one kite

Difference between the perimeter is =Perimeter of entire figure-Perimeter of one kite=14x-10x=4x

∴ Perimeter of entire figure is 4x bigger than the perimeter of one kite


Three congruent kites are placed together edge-to-edge as shown. The bottom edge is-example-1
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