What is the area of the quadrilateral? height is 6cm width is 10cm on the bottom and 6cm on the top

Answer 1

To find the area of the quadrilateral, we first need to find the lengths of the two slant sides. Let's call them a and b.

Using the Pythagorean theorem, we can calculate the lengths of a and b:

a^2 = 10^2 + 6^2
a^2 = 100 + 36
a^2 = 136
a ≈ 11.66 cm

b^2 = 6^2 + 6^2
b^2 = 36 + 36
b^2 = 72
b ≈ 8.49 cm

Now that we have the lengths of all sides, we can calculate the area of the quadrilateral using the formula for the area of a trapezoid:

Area = (1/2) * (top base + bottom base) * height
Area = (1/2) * (6 + 10) * 6
Area = (1/2) * 16 * 6
Area = 48 cm^2

Therefore, the area of the quadrilateral is 48 square centimeters.