The area of a quadrilateral is calculated using the formula for the area of a trapezium: A = 1/2 * (a + b) * h, where a and b are the two parallel sides and h is the height.
Given the sides of the quadrilateral are:
4 cm
9 cm
6 cm
To find the height (h) of the quadrilateral, we can use the Pythagorean theorem:
h = sqrt(9^2 - 4^2) = sqrt(81 - 16) = sqrt(65) cm
Now we can calculate the area using the formula:
A = 1/2 * (4 + 6) * sqrt(65) = 1/2 * 10 * sqrt(65) = 5 * sqrt(65) ≈ 30.39 cm²
Therefore, the closest option is 30 cm².
4 cm
9 cm
6 cm
Find the area of the quadrilateral.
(1 point)
60 cm²
30 cm²
24 cm²
○ 54 cm²
5 cm
1 answer