An illustration shows a parallelogram. The top side, slanted downward, is 10 inches. The left side is 14 inches. A dotted perpendicular line is drawn from top right vertex to the left side and labeled as 8 inches. It is denoted by one right angle symbol on the right and two right angle symbols on the left.
What is the area of the quadrilateral?
(1 point)
Responses
80 in.2
80 in. squared
102 in.2
102 in. squared
140 in.2
140 in. squared
112 in.2
112 in. squared
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1 answer
To find the area of the parallelogram, you can use the formula:
\[ \text{Area} = \text{base} \times \text{height} \]
In this case, the base of the parallelogram is the slanted top side which measures 10 inches, and the height (the perpendicular distance from the top to the bottom) is given as 8 inches.
Plugging in these values:
\[ \text{Area} = 10 , \text{inches} \times 8 , \text{inches} = 80 , \text{inches}^2 \]
So, the area of the parallelogram is:
80 in.²
