Henri built a lantern in the shape of a square pyramid. he wants to cover the entire pyramid with fabric. how much fabric will he need?

The amount of fabric needed to cover the pyramid is .

Step-by-step explanation:

Given, the lantern is in the shape of a square pyramid. And the lantern has to be covered by a fabric. So, the amount of fabric needed to cover the lantern can be calculated by the following formula,

where p is the perimeter of the base of the pyramid and l is the slant height.

Since, it is given that it is a lantern, the area to be covered with the fabric is its L.S.A (Lateral Surface Area) leaving the base where the lamp is lit. So, the L.S.A of the pyramid is equal to the amount of fabric required to cover the lantern.  

19 games

Step-by-step explanation:

Henry went to an amusement park with $100.00 and spent all of it.

Starting amount = $100.00

He spent $42.50 on admission to the park.

Amount left = $100.00 - $42.50

Amount left = $57.5

He spent 20% of the money on food.

Amount spent = 20%  of amount left ($57.5) = $11.5

Amount left = $57.5 - $11.5 = $46

He paid a $12.75 fee for admission into a water park located inside the amusement park.

Amount left = $46 - $12.75

Amount left = $33.25

He spent the remainder of his money on games that cost $1.75 each. How many games did Henry play?

Number of games = Amount left / Cost per game

Number of games = $33.25 / $1.75 = 19