A parallelogram has vertices (-3,4) (4,4)(2,-1) (-5,-1) on the coordinate plan what’s the area
1 answer:
Answer:
Area of this parallelogram: 35.
Step-by-step explanation:
What's the equation for the area A of a parallelogram?
A = b · h,
where
- b is the length of the base, and
- h is the length of the height <em>on that base</em>.
Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.
The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base <em>b</em> is h = 4 - (-1) = 5.
Area of this parallelogram:
A = b · h = 5 × 7 = 35.
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Answer:
The area of the pyramid’s base is 36 in².
The pyramid has 4 lateral faces.
The surface area of each lateral face is 27 in².
Step-by-step explanation:
"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.
The <u>base</u> is the bottom, which is a <u>square</u>.
To calculate the <u>area of the base</u>, use the formula for area of a square.
To calculate the <u>area of a lateral face</u>, find the area of a triangle.
In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.