To find the height of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (base1 + base2) * height
We know that the area is 297 cm^2, base1 is 16.0 cm, and base2 is 17.0 cm. Let's substitute these values into the formula and solve for the height:
297 = (1/2) * (16 + 17) * height
297 = (1/2) * 33 * height
297 = 16.5 * height
Divide both sides of the equation by 16.5:
height = 297 / 16.5
height ≈ 18 cm
Therefore, the height of the trapezoid is approximately 18 centimeters.
Determine the height of a trapezoid in centimeters if the bases of the trapezoid are 16.0 centimeters and 17.0 centimeters. The area is 297 cm2.
1 answer