Felicia has a garden in the shape of a parallelogram as shown. What is the area of her garden? 72 ft² 75 ft² 92 ft² 96 ft² Paral
lelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B. A E is 3 feet. DC is 9 feet. A dotted segment D E runs from point D to the opposite side A B and is perpendicular to side A B. D E is 8 feet.
1 answer:
Answer:
72 ft²
Step-by-step explanation:
Given :
Parallelogram ABCD with side AD parallel to side BC and side AB is parallel to side DC.
Point E is on side AB. AE is 3 feet. DC is 9 feet.
A dotted segment DE runs from point D to the opposite side AB and is perpendicular to side AB.
DE is 8 feet.
To Find: Area of parallelogram
Solution :
Refer the attached figure .
Since opposite sides of parallelogram is equal .
So DC=AB=9 feet
Area of parallelogram = base * height
= AB*DE
=9*8 = 72 ft²
Thus the area of garden in the shape of parallelogram is 72 ft²
You might be interested in
Answer:
1. Not possible. The slope of such a line is undefined. Its equation is x=7.
2. y = 3x -2
3. The slope is undefined. (The line is a vertical line.)
Step-by-step explanation:
1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.
In slope-intercept form, the equation would be useless:
... y = (undefined)x + (no such value)
If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:
... x = 7
2. The slope of the perpendicular line is the negative reciprocal of this:
... m = -1/(-1/3) = 3
In point-slope form, the equation of the perpendicular line through the given point is ...
... y = 3(x -2) +4
... y = 3x -2 . . . . . . . . simplified to slope-intercept form
3. The slope is computed from ...
... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined
The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...
... x = -1
_____
* If your point is really (77, 88), then the line has equation x = 77.
