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Why you can multiply base by height to determine the area of a parallelogram?

Posted on May 29, 2020 by Author

Table of Contents

  • 1 Why you can multiply base by height to determine the area of a parallelogram?
  • 2 What is the relationship between the base length and the height of these parallelograms?
  • 3 Why is area base times height?
  • 4 What is the formula for finding the height of a parallelogram?

Why you can multiply base by height to determine the area of a parallelogram?

Why is the Area of a Parallelogram Base Times Height? The area of a parallelogram is base times height because it can be rearranged into a rectangle with the same area. A rectangle is a special type of parallelogram.

What is the relationship between the base length and the height of these parallelograms?

The length of one side of the parallelogram—which is also the length of one side of the rectangle—is called a base. The length of the vertical cut segment—which is also the length of the vertical side of the rectangle—is called a height that corresponds to that base.”

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What is the rule for finding the area of a parallelogram?

Intuition for why the area of a parallelogram is A = b h A=bh A=bh. The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Why is the area of a triangle 1 2bh?

A diagonal of a rectangle separates the rectangle into two congruent triangles. The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Why is area base times height?

Because base × height gives the area of the rectangle, we can use the same measurements on the parallelogram to compute its area: base × height. (As before, “height” is measured perpendicular to the base, and “base” is whichever side you chose first.

What is the formula for finding the height of a parallelogram?

What will be the height of the parallelogram if the area is 30 Sq inch and the base of a parallelogram is 6 inch, then find the height of a parallelogram? Solution. Hence, the height is 5 cm….Solved example:

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What does the formula a 1 2BH mean?

Since the area of this triangle, is half of the area of a parallelogram, the formula for the area of this triangle, A = 1/2BH. Since this is the formula for area, its unit will be in the form of square unit.

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