# How are the area formulas for triangles parallelograms and trapezoids related to the area of a rectangle?

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## How are the area formulas for triangles parallelograms and trapezoids related to the area of a rectangle?

From this, we see that the area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is two times the area of a triangle. When we do this, the base of the parallelogram has length b 1 + b 2, and the height is the same as the trapezoids, so the area of the parallelogram is (b 1 + b 2)*h.

## How does the area of a trapezoid relate to the area of a parallelogram?

The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from exactly the same “stuff” as the trapezoid, that’s the area of the trapezoid, too.

## What is the formula for the area of parallelogram triangle and trapezoid?

The area of the parallelogram is given by the formula bh b h . Let h h be the height of a trapezoid, and let b1 b 1 and b2 b 2 denote the two bases. Of course, this formula can be written in a variety of ways: area=h(b1+b22)=(b12+b22)h=hb12+hb22=12(b1+b2)h=…

## What is the area of the base of the square pyramid?

The Formula of Surface Area of a Square Pyramid So the base area of the pyramid which is a square is a × a = a2 and the area of each such triangular face is 1/2 × a × l. So the sum of areas of all 4 triangular faces is 4 ( ½ al) = 2 al.

## What is the cross section perpendicular to the base of a square pyramid?

when a plane cuts the square pyramid perpendicular to base and passes through top vertex we get a cross section made by its two equal slant height and side of the square. therefore, we get a triangle or more specifically isosceles triangle.

## What is the area of cross section Adgf of this right rectangular prism?

Area=52 square units.

## What is vertical cross section?

Vertical Cross Section. In perpendicular cross-section, a plane cuts the solid shape in the vertical direction which is perpendicular to its base. For example, the vertical cross-section of a cylinder is a rectangle.

## What is the cross sectional area of a prism?

A prism has a cross-section which is exactly the same shape and size throughout its length. A triangular prism has a triangular cross-section. To calculate the volume of a prism, first calculate the area of the cross-section. Then multiply the area of the cross-section by the length.