Question

raineys group designed a flag. they used 234 sq inches of green fabric. twice as much green fabric as orange fabric. 3 times as much green fabric as yellow fabric and they had 35 sq inches of yellow fabric left. how can raineys group determine the total area of the flag?

Answer 1

Explanation:

Rainey’s group designed a flag shown for the class project. The flag was made up of Green, Orange and Yellow fabrics.

Green fabric = 234 square inches

( given in the description)

Green fabric = 2 x Orange fabric

(Twice as much Green as Orange)

So Orange fabric = 1/2 X Green fabric (half of green fabric)

Green fabric = 3 x Yellow fabric

( 3 times as much green as yellow)

So Yellow fabric = 1/3 X Green fabric ( one third of Green fabric)

After making one flag Rainey’s group has 35 square inches of yellow fabric left. To determine the total area of the flag that left over 35 square inches have to subtract.

Now add up all the fabrics and then subtract the left over yellow fabric to get the total area of the flag.

Total area of the flag = Green fabric + Orange fabric + Yellow fabric - left over fabric

So Total area of flag = 234 square inches + 234/2 square inches + 234/3 square inches - 35 square inches

= 234 + 117 + 78 - 35 square inches

= 234 + 117 + 43 square inches

= 394 square inches.

So the total are of the flag is 394 square inches.

Answer 2

The total area of the flag was 394 square inches.

Explanation:

Given that Rainey's group designed a flag, and they used 234 square inches of green fabric, twice as much green fabric as orange fabric, and 3 times as much green fabric as yellow fabric and they had 35 sq inches of yellow fabric left, to determine the total area of the flag the following calculation must be performed:

234 + 234/2 + (234/3 - 35) = X

234 + 117 + (78 - 35) = X

234 + 117 + 43 = X

234 + 160 = X

394 = X

Thus, the total area of the flag was 394 square inches.