Question

ASAP!!! ITS URGENT

An isosceles trapezoid, whose legs are each 5 cm in length, has an upper base of 8 cm and a lower base of 16 cm. Find its area.

Answer 1

To find the area of the isosceles trapezoid, we can use the formula:

Area = ((upper base + lower base) / 2) x height

First, we need to find the height of the trapezoid. We can use the Pythagorean theorem to find the height, since the legs of the trapezoid form a right triangle with the height as the hypotenuse.

Using the Pythagorean theorem:

height^2 = leg^2 - ((lower base - upper base) / 2)^2

= 5^2 - ((16 - 8) / 2)^2

= 25 - 4^2

= 9

height = 3 cm

Now that we have the height, we can use the area formula:

Area = ((8 + 16) / 2) x 3

= 12 x 3

= 36 cm^2

Therefore, the area of the isosceles trapezoid is 36 square centimeters.