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

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.