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

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.

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

b. astronomers

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.