Question

SOME HELP ME PLSS ASAP

Answer 1

Answer as an improper fraction: 248/3

Answer as a mixed number: 82 2/3

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Work Shown:

b1 and b2 are the parallel bases

b1 = 10

b2 = 6

h = height

h = 10 & 1/3 = 10 + 1/3 = 30/3 + 1/3 = 31/3

`A = \text{area of the trapezoid}\\\\A = h*(b_1+b_2)/(2)\\\\A = (31)/(3)*(10+6)/(2)\\\\A = (31)/(3)*(16)/(2)\\\\A = (31*16)/(3*2)\\\\A = (31*8)/(3)\\\\A = (248)/(3)\\\\`

The area as an improper fraction is 248/3 square miles.

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If you wanted, follow these steps to convert the improper fraction to a mixed number

248/3 = 82.667 approximately

The whole part is 82 as it's to the left of the decimal point.

The fractional part 0.667 multiplies with the denominator 3 to get 3*0.667 = 2.001 which rounds to 2.

Therefore,

248/3 = 82 & 2/3 or 82 2/3

We have 82 full square miles, plus an additional 2/3 of a square mile, to constitute the area of the trapezoid.