Question

Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown. mc022-1.jpg 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

Hello! The answer is 432.

Explanation:

Have a great rest of your day or night and good luck on the rest of your quiz!

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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