Question

Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.
Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites
216
432
864
1,728

Answer 1

Answer

864 in²

Step by step explanation

let's find the area of the kite.

Area of a kite=(1/2)*[d1*d2], where d1 and d2 are the diagonals

Area of the kite=(1/2)*[6*12]

Area of the kite 36 in²

The wall is 12 feet across. Convert 12 feet into inches

1 feet = 12 inches

12 feet =  12*12 = 144 in

Now find the number of kite to paint.

144/6 =  24 

Now let's find the number of square inches of the wall to be covered with

kites

24*area of the kite

= 24*36

= 864 square inches

Thank you.

Answer 2

the question does not present the picture, but this does not interfere with the resolution

step 1

Find the area of a kite

we know that

area of a kite=(1/2)*[d1*d2]

where d1 and d2 are the diagonals

so 

area of a kite=(1/2)*[6*12]-----> 36 in²

The wall is 12 feet across-----> convert to in-----> 12*12----> 144 in

step 2

find the number of kite to paint

divide across of the wall to across of a kite

144/6-----> 24 

step 3

find the number of square inches of the wall to be covered with comets

24*area of one kite-----> 24*36-----> 864 in²

the answer is 864 in²

Note For this calculation, as there is no drawing we have assumed that the diagonal of the 6-inch kite is horizontal

case b) 

If the diagonal of the 12-inch kite was horizontal, then the calculation would be

step 2

find the number of kite to paint

divide across of the wall to across of a kite

144/12-----> 12

step 3

find the number of square inches of the wall to be covered with comets

12*area of one kite-----> 12*36-----> 432 in²

the answer would be 432 in²