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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?
They both use perpendicular height and are in square units. Area of a trapezoid = 0.5*(sum of parallel sides)*perpendicular height Area of a parallelogram = base*perpendicular height
How can you use the area of a parallelogram to find the area of a corresponding trapezoid?
To find the area of a trapezoid using the area of a corresponding parallelogram, you can draw a line parallel to one of the bases of the trapezoid that extends to form a parallelogram. The area of the parallelogram is calculated using the formula (A = \text{base} \times \text{height}). Since the trapezoid shares the same height and one pair of parallel sides with the parallelogram, you can find the area of the trapezoid by subtracting the area of the triangular sections outside the trapezoid from the area of the parallelogram. This approach effectively utilizes the relationship between the two shapes to derive the trapezoid's area.
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
Can a trapezoid be divided into rectangle and triangle and have the same formula?
Yes, a trapezoid can be divided into a rectangle and a triangle, and they can share the same area formula. The area of a trapezoid is calculated using the formula ( A = \frac{1}{2}(b_1 + b_2)h ), where ( b_1 ) and ( b_2 ) are the lengths of the parallel sides and ( h ) is the height. When a trapezoid is divided, the rectangle's area can be calculated using its base and height, while the triangle's area can be calculated using its base and height, which can be combined to match the trapezoid's area formula.
How can you find the area of a composite figures trapezoid with a triangle?
To find the area of a composite figure consisting of a trapezoid and a triangle, you would first calculate the area of the trapezoid using the formula A = (1/2)h(b1 + b2), where h is the height of the trapezoid and b1 and b2 are the lengths of the two parallel bases. Then, you would calculate the area of the triangle using the formula A = (1/2)bh, where b is the base of the triangle and h is the height. Finally, you would add the areas of the trapezoid and the triangle together to find the total area of the composite figure.
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?
They both use perpendicular height and are in square units. Area of a trapezoid = 0.5*(sum of parallel sides)*perpendicular height Area of a parallelogram = base*perpendicular height
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 can you use the area of a parallelogram to find the area of a corresponding trapezoid?
To find the area of a trapezoid using the area of a corresponding parallelogram, you can draw a line parallel to one of the bases of the trapezoid that extends to form a parallelogram. The area of the parallelogram is calculated using the formula (A = \text{base} \times \text{height}). Since the trapezoid shares the same height and one pair of parallel sides with the parallelogram, you can find the area of the trapezoid by subtracting the area of the triangular sections outside the trapezoid from the area of the parallelogram. This approach effectively utilizes the relationship between the two shapes to derive the trapezoid's area.
What is the area of a trapezoid with base of 4Cm and 28Cm?
The height of the trapezoid is also needed to find its area which is as follows:- Area of a trapezoid = 0.5*(sum of bases or parallel sides)*height
