Question

What is the area of this parallelogram? A=3112 ft² A = 35 ft² A=4712 ft² A=6612 ft²

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Answer 1

`\mathrm{The\:third\:option:\:\:A = 47 ( 1 )/( 2 )\:ft}`

Explanation:

Area of a parallelogram: A = b × h

Since we know both the base and height, we can set up the equation, in order to solve for the area

b = base = 9
`(1)/(2)` or 9.5

h = height = 5

A = b × h

Substitute the numbers into the equation

`A = 9 ( 1 )/( 2 ) * 5`

`\mathrm{Turn\:9 ( 1 )/( 2 )}\:\mathrm{into\:an\:improper\:fraction}`

`A = ( 19 )/( 2 ) * 5`

`\mathrm{Turn\:5}\:\mathrm{into\:a\:fraction}`

`A = ( 19 )/( 2 ) * ( 5 )/( 1 )`

`\mathrm{Multiply\:19\:by\:5\:and\:2\:by\:1}`

`A = ( 95 )/( 2 )`

`\mathrm{Turn\: ( 95 )/( 2 ) \:into\:a\:mixed\:number}`

`A = 47 ( 1 )/( 2 )`

`\mathrm{The\:third\:option:\:\:A = 47 ( 1 )/( 2 )\:ft}`

Answer 2

Answer: 47 1/2 ft^2
The third option in the picture you provided.