Question

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answer 1

We need to plug in the numbers: h = 2 x 136.5/6+15

Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)

Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5

Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Answer 2

13cm

Explanation:

The area of a trapezoid is given by the formula:

Area = ½*(b1+b2)*h

where:

• b1 and b2 are the lengths of the bases of the trapezoid
• h is the height of the trapezoid

In this problem, we are given that b1 = 6 cm, b2 = 15 cm, and Area = 136.5 square centimeters.

Plugging these values into the formula, we get:

136.5 = ½*(6 + 15)*h

Solving for h, we get:

136.5=10.5h

h = 136.5/10.5=13centimeters

Therefore, the height of the trapezoid is 13 centimeters.