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

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

Answer 2

Answer:

$\mathrm{The\:third\:option:\:\:A = 47 \dfrac{ 1 }{ 2 }\:ft}$

Step-by-step 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 $\frac{1}{2}$ or 9.5

h = height = 5

A = b × h

Substitute the numbers into the equation

$A = 9 \dfrac{ 1 }{ 2 } \times 5$

$\mathrm{Turn\:9 \dfrac{ 1 }{ 2 }}\:\mathrm{into\:an\:improper\:fraction}$

$A = \dfrac{ 19 }{ 2 } \times 5$

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

$A = \dfrac{ 19 }{ 2 } \times \dfrac{ 5 }{ 1 }$

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

$A = \dfrac{ 95 }{ 2 }$

$\mathrm{Turn\: \dfrac{ 95 }{ 2 } \:into\:a\:mixed\:number}$

$A = 47 \dfrac{ 1 }{ 2 }$

$\mathrm{The\:third\:option:\:\:A = 47 \dfrac{ 1 }{ 2 }\:ft}$