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  • the relative positions of the triangle and trapezium
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Q: What is the shape's area when the triangle base is 5 the trapezoid base is 3 and the height is 5?
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Why is the formula for area of a triangle and area of a trapezoid are what they are?

area triangle = 1/2 base times height area trapezoid = 1/2 (sum of bases) times height


How is the formula for the area of a trapezoid related to the formula for the area for a triangle?

The formula for the area of a trapezoid is A = 1/2 (b1 + b2)/h where b1 is the upper base of the trapezoid , b2 is the lower base of the trapezoid and h is the height of the trapezoid. Since a triangle has only one base , replace either b1 or b2 with zero. Thus the area of a triangle is A = 1/2bh


What is the area of a right triangle and a trapezoid?

Triangle: Half the product of the longest side and the perpendicular distance from it to the apex. Trapezoid: Half the product of the sum of its bases and the height.


How is the formula for the area of a trapezoid related to the formula for a area of a parallelogram?

The formula for the area of a trapezoid is a combination of the formulas for the areas of a triangle and a rectangle. It can be seen as two congruent triangles placed together to form a parallelogram. So, the formula for the area of a parallelogram is a generalization of the formula for the area of a trapezoid.


How do you write the formula for area?

The formula for the area of the shape really depends on the shape. Some of the following are the areas of certain shapes: Rectangle area = lw (length x width) Parallelogram area = bh (base x height) Triangle area = 1/2 bh Trapezoid area = [(b1 + b2)/2] h There are other shapes as well that require different formulas for finding their area.

Related questions

Why is the formula for area of a triangle and area of a trapezoid are what they are?

area triangle = 1/2 base times height area trapezoid = 1/2 (sum of bases) times height


How do you find the area of a trapezoid using the area of a triangle?

You have to cut the trapezoid into three shapes. The three shapes will be two triangles and one rectangle or square. You have to find the area of these three shapes and then add all of the three areas up to find the area of the trapezoid.


When finding the area of trapezoid name two shapes that are important?

square and triangle


How can you find the area of a composite figures trapezoid with a triangle?

A trapezoid has 2 inner triangles and so work out the area of each triangle then add them together. Alternatively use the formula for area of a trapezoid which is:- 0.5*(sum of parallel sides)*height


How is the formula for the area of a trapezoid related to the formula for the area for a triangle?

The formula for the area of a trapezoid is A = 1/2 (b1 + b2)/h where b1 is the upper base of the trapezoid , b2 is the lower base of the trapezoid and h is the height of the trapezoid. Since a triangle has only one base , replace either b1 or b2 with zero. Thus the area of a triangle is A = 1/2bh


What is the area of a right triangle and a trapezoid?

Triangle: Half the product of the longest side and the perpendicular distance from it to the apex. Trapezoid: Half the product of the sum of its bases and the height.


Which formula for the area of a parallogram is similar to a rectangle circle triangle ellipse or trapezoid?

Rectangle Area of parallelogram = Base * Height Area of rectangle = Base * Height


How is the formula for the area of a trapezoid related to the formula for a area of a parallelogram?

The formula for the area of a trapezoid is a combination of the formulas for the areas of a triangle and a rectangle. It can be seen as two congruent triangles placed together to form a parallelogram. So, the formula for the area of a parallelogram is a generalization of the formula for the area of a trapezoid.


How do you figure sq ft of a room with five sides?

You should be able to draw an imaginary line between two corners that divides the room into a trapezoid and a triangle. The area of a trapezoid is (a + b)/2 times h where a and b are bases and h is the height. The area of a triangle is one half the base times the height. You can also divide the trapezoid into two triangles and do the triangle thing three times.


How do you write the formula for area?

The formula for the area of the shape really depends on the shape. Some of the following are the areas of certain shapes: Rectangle area = lw (length x width) Parallelogram area = bh (base x height) Triangle area = 1/2 bh Trapezoid area = [(b1 + b2)/2] h There are other shapes as well that require different formulas for finding their area.


How you could find the height of a trapezoid if you knew the length of the 2 bases and the area of the trapezoid?

Height of trapezoid = 2*area/sum of parallel sides


Can you relate the area formulas of two triangles to the area formula of a trapezoid with a diagonal drawn?

Yes.Each triangle has an area = 1/2 base x height.So the two equal triangles (one upright and the other one upside-down) that fit into the trapezoid will give the trapezoid an area = twice 1/2 base x height = base x height.