In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
Explain how you found your answer.
Enter the correct answers in the boxes.

In a trapezoid the length of one base is equal to its height and the length of the other base is twice its height If the height is 10 centimeters what is the ar class=

Respuesta :

Answer:

150cm²

Step-by-step explanation:

In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?

The formula for the area of a trapezoid = 1/2(a + b) h

Where a = Length of the first base

b = Length of the second base

h= height of the trapezoid

h = 10cm

The length of one base is equal to its height

Hence:

a = h = 10cm

The length of the other base is twice its height.

b = 2h

h = 10cm

b = 10 × 2 = 20cm

Therefore, the Area of the Trapezoid =

1/2 (20 + 10)10

1/2 × 30 × 10

= 150cm²

ACCESS MORE
EDU ACCESS
Universidad de Mexico