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The area ( A ) of a trapezoid can be calculated using the formula ( A = \frac{1}{2} \times (b_1 + b_2) \times h ), where ( b_1 ) and ( b_2 ) are the lengths of the bases, and ( h ) is the height. For this trapezoid, the bases are 9 and 2, and the height is 6. Plugging in the values, we get ( A = \frac{1}{2} \times (9 + 2) \times 6 = \frac{1}{2} \times 11 \times 6 = 33 ). Thus, the area of the trapezoid is 33 square units.
What else can I help you with?
How do you find the height of a trapezoid using the area and two bases?
The height can be found by dividing the area by the sum of the bases and multiplying the result by 2
How is the area of trapizoid related to the area of a parrellogram?
The area of a trapezoid can be related to the area of a parallelogram by considering that both shapes have a base and height. 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 two parallel bases and (h) is the height. In contrast, the area of a parallelogram is given by (A = b \cdot h), where (b) is the length of one base and (h) is the height. If you take a trapezoid and extend it into a parallelogram by duplicating one of its bases, the relationship between the areas is evident: the trapezoid's area is essentially half of the area formed by the parallelogram that encompasses it.
Formula for area of a trapazoid?
A trapezoid has one height: vertical measurement from top to bottom, and two bases: horizontal measurement on top and horizontal measurement on bottom. To find the area, you add the two bases together, multiply that by the height, and then divide by 2.
How do I Calculate the area of a trapezoid?
To calculate the area of a trapezoid, use the formula: Area = (1/2) × (b₁ + b₂) × h, where b₁ and b₂ are the lengths of the two parallel sides (bases) and h is the height (the perpendicular distance between the bases). First, add the lengths of the two bases, then multiply the sum by the height, and finally, multiply by 0.5 to find the area.
When figuring out the area of a trapezoid what does b2 mean?
In the formula for the area of a trapezoid, ( A = \frac{1}{2} (b_1 + b_2) h ), ( b_2 ) represents the length of one of the two parallel sides (bases) of the trapezoid. The other base is denoted as ( b_1 ). The height ( h ) is the perpendicular distance between these two bases. The area is calculated by averaging the lengths of the bases and then multiplying by the height.
How do you find the height of a trapezoid using the area and two bases?
The height can be found by dividing the area by the sum of the bases and multiplying the result by 2
How is the area of trapizoid related to the area of a parrellogram?
The area of a trapezoid can be related to the area of a parallelogram by considering that both shapes have a base and height. 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 two parallel bases and (h) is the height. In contrast, the area of a parallelogram is given by (A = b \cdot h), where (b) is the length of one base and (h) is the height. If you take a trapezoid and extend it into a parallelogram by duplicating one of its bases, the relationship between the areas is evident: the trapezoid's area is essentially half of the area formed by the parallelogram that encompasses it.
Can a square and a trapizoid ever have the same area?
Yes. For example, if the square's side length was 10, the area would be 100. If the trapezoid's two base lengths were 5 and 20, and the height was 8, the area would be 100.
What is the formula for finding the area of a trapezoid?
Area = 1/2*(sum of the two bases)*height
What is the height of a trapezoid with an area of 62.5 and the two bases as 11 and 14?
Height: (62.5*2)/25 = 5
Formula for area of a trapazoid?
A trapezoid has one height: vertical measurement from top to bottom, and two bases: horizontal measurement on top and horizontal measurement on bottom. To find the area, you add the two bases together, multiply that by the height, and then divide by 2.
How do I Calculate the area of a trapezoid?
To calculate the area of a trapezoid, use the formula: Area = (1/2) × (b₁ + b₂) × h, where b₁ and b₂ are the lengths of the two parallel sides (bases) and h is the height (the perpendicular distance between the bases). First, add the lengths of the two bases, then multiply the sum by the height, and finally, multiply by 0.5 to find the area.
How do you calculate the area of a trapezoid?
To calculate the area of a trapezoid, you can use the formula: Area = 0.5 * (sum of bases) * height. Simply add the lengths of the two parallel sides (bases) of the trapezoid, multiply the sum by the height, and then divide by 2 to find the area.
When figuring out the area of a trapezoid what does b2 mean?
In the formula for the area of a trapezoid, ( A = \frac{1}{2} (b_1 + b_2) h ), ( b_2 ) represents the length of one of the two parallel sides (bases) of the trapezoid. The other base is denoted as ( b_1 ). The height ( h ) is the perpendicular distance between these two bases. The area is calculated by averaging the lengths of the bases and then multiplying by the height.
What is the surface area of a prism?
The surface area of a prism is the two bases and all the sides A = 2 *area of base + Perimeter of base * Height of prism.
What is the height of a trapezoid that has an area of 65 and bases that equal 13?
The area of a trapezoid is 1/2 times the sum of the bases * the height. In this case, we have the area of 65 = 1/2 * (13+13) * height. Solving for height, we have 65 * 2 / 26, so h = 5. If the two bases of a quadrilateral are of the same length, it is not a parallelogram, but a rectangle.
How do you find the height of a trapezoid given the area and bases?
To find the height of a trapezoid given the area and bases, you can use the formula for the area of a trapezoid, which is A = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two bases, and h is the height. Rearrange the formula to solve for h: h = 2A / (b1 + b2). Plug in the known values for the area and the bases to calculate the height of the trapezoid.
