How do you calculate the area of a trapezoid? How to calculate the area of the trapezoid

Area formula for trapezoid:

1. If the length of the upper bottom of the trapezoid is a, the length of the lower bottom is b, the height is h, and the area is s, then the area formula of the trapezoid is: s=(a+b) h (1 2).

2. When the diagonal of the trapezoid.

When perpendicular to each other, there is a formula: area of the trapezoid = diagonal diagonal 2.

3. If the trapezoidal median line is known.

The formula for the area of the trapezoid: (top bottom + bottom bottom) height 2, represented by letters: s=(a+c) h 2.

Deformation: h=2s (a+c); Deformation 2: a=2s h-c; Deformation 3: c = 2s h-a.

In the formula, a and c are the upper and lower bottom of the trapezoid, h is the height of the trapezoid, and s is the area of the trapezoid.

Popularly expressed as: (top bottom + bottom bottom) High 2

1. The area formula of the trapezoid: (upper bottom + lower bottom) height 2. The area of the trapezoid is equal to half of the product of the sum of the upper and lower bases and the height.

If the upper and lower bases of the trapezoid are represented by a and b respectively, and the height is represented by h, the area of the trapezoid is s=(a+b) h2.

2. The area formula of the trapezoid: the median line is high. According to the length of the median line of the trapezoid, which is equal to half of the sum of the upper and lower bases, the area of the trapezoid is also equal to the product of the median line and the height. If the median line of the trapezoid is denoted by m and the height is denoted by h, the area of the trapezoid is s=mh.

3. The trapezoidal area perpendicular to each other is: diagonal diagonal 2.

The sum of the top bottom plus the bottom bottom multiplied by the height divided by two.

Answer: We call this kind of quadrilateral, which has one set of opposites parallel and another set of opposites that are not parallel, a trapezoid. The two parallel sides of the trapezoid are called the bottom edge, respectively called the upper bottom and the lower bottom, the distance between the upper bottom and the lower bottom is called the height, and the two non-parallel sides of the trapezoid are called the waist.

A group of parallel opposite sides is usually called the upper and lower bottom of the trapezoid; The two sides that are not parallel are called trapezoidal waists; The angle between the waist and the bottom is called the bottom angle of the trapezoid; The distance between the two bases of the trapezoid is called the height of the trapezoid; The line connecting the midpoint of the two waists is called the trapezoidal median line.

The median line of the trapezoid has the following properties.

The area formula of the trapezoid: if the length of the upper base of the trapezoid is a, the length of the lower bottom is b, the height is h, and the area is s, then the area formula of the trapezoid is s=(a+b) h 2. Popularly expressed as: (top bottom + bottom bottom) High 2

Special case: If the median line is known, the trapezoidal area is the median line height, which is represented by the letter: l·h (l is the median line length).

For trapezoids where the diagonal lines are perpendicular to each other: Diagonal Diagonal 2.

Area The area formula of the trapezoid: (upper bottom + lower bottom) height 2, the area formula of the trapezoid: median line high, represented by letters: l·h.

The area of the trapezoidal where the diagonals are perpendicular to each other is: diagonal diagonal 2.

The circumference formula of the perimeter trapezoid: upper bottom + lower bottom + waist + waist (upper bottom + lower bottom + waist x2), the circumference formula of the isosceles trapezoid: upper bottom + lower bottom + 2 waist, represented by letters: a + c + 2b.

The area formula for a trapezoid is equal to the sum of the upper base plus the lower base multiplied by the height divided by 2.

When the diagonal lines of the trapezoid are perpendicular to each other, it can be calculated with half of the product of the diagonals.

The area of the harrier can be found by half of the product of the diagonal, and the area of the special trapezoid, that is, the area of the trapezoidal where the diagonal lines are perpendicular to each other can be found by this method, and the area of any plane figure where the diagonals are perpendicular to each other can be found by this method.

If the two diagonals are perpendicular, it can be counted like that, otherwise.

When the diagonal of a convex quadrilateral is perpendicular, its area is equal to half of the product of the two diagonals.

The top bottom plus the bottom bottom multiplied by the height divided by two.

There are two algorithms for trapezoidal area.

1) The area formula of the trapezoid: (upper bottom + lower bottom) High 2 is represented by letters: (a+b) h 2

2) The area of the trapezoidal is equation 2: The median line is high.

Represented by letters: l·h (l denotes median line length).

In addition, the diagonal lines are perpendicular to each other: diagonal diagonal 2<>

Trapezoidal height: m).

If you add meters to the top bottom, you get a square, and you can know that the top bottom of the trapezoid is equal to the height.

Trapezoidal upper bottom: m).

Trapezoidal area: (3+ square meters).

The area of the trapezoid = (upper bottom + lower bottom) height 2

Hope, thank you.

The first type of trapezoidal area = (upper bottom + lower bottom) height 2s = (a b)xh 2

The second type is the area of the trapezoid, the median line x height.

The letters indicate lxh

l denotes the median line length.

The area of the trapezoid = (upper bottom + lower bottom) height 2

Trapezoidal area (top bottom, bottom bottom) x height 2.

The area formula for a trapezoid is trapezoidal area = (top bottom + bottom bottom) height 2

The formula for the area of the trapezoid: (top bottom + bottom bottom) height 2, represented by letters: s=(a+c) h 2.

The area of the trapezoid = (upper bottom + lower bottom) height 2

s=(a+b)×h/2

Formula description: a, b are the upper bottom and the lower bottom, h is the high application example: let the upper bottom and the lower bottom of the trapezoid be respectively , the height is 4, then the area s=(2+5)x4 2=14.

The trapezoidal area is the upper base plus the lower base multiplied by the height and divided by 2.

Trapezoidal area. Equal to (top bottom + bottom bottom) high 2

1. Shadow area + middle white part area = trapezoidal area.

2. Trapezoidal area + middle white part area = trapezoidal area, the shaded part is equal to the area of the entire right-angled trapezoid minus the overlapping part, that is, the white part minus the overlapping part.

3. From the above two equations, it is obtained: the area of the shaded part = the area of the trapezoid.

4. Shadow area: (20 5 20) 8 2 = 140 (square centimeters).

The formula for the area of a right-angled trapezoid is: area = (length of the upper base + length of the lower base) x height

It is expressed in mathematical notation as: s=(a+b)xhx1 2. Where:

s denotes the area in cm2;A represents the length of the upper bottom, in cm; b represents the length of the bottom in cm; h represents the height of the trapezoid, in cm; The first splitting method splits the right-angled trapezoid into a rectangle and a right-angled triangle; The area of the right-angled trapezoid is: s=s1+s2Where:

S1 is the rectangular area, which is equal to axh; s2 is the area of the right triangle, which is equal to (b-a)xhx1 2;Therefore, the area of the right-angled trapezoid, s=axh+(b-a)xhx1 2, is simplified to s=(a+b)xhx1 2In the second splitting method, the right-angled trapezoid is split into two triangles; The area of a right-angled trapezoid is; s=s1+s2.Where:

s1 is equal to axhx1 2;s2 is equal to bxhx1 2;Therefore, the area of a right-angled trapezoid, s=axhx1 2+bxhx1 2, is simplified to s=(a+b)xhx1 2