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a trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezoid?

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elainadecius
•*Ok first let me show you the formula for the Area of the trapezoid.
A=a+b/2 h.(I will be using the letter x for the multiplication sign)
 
*And here is the formula to find the height of a trapezoid
h=2 x A/a+b (2 times the Area over base "a" plus base "b")


*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.

Hope this helps you ☺

The height of trapezoid is 13 cm

What is the trapezoids ?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs. The parallel sides can be horizontal, vertical or slanting. The perpendicular distance between the parallel sides is called the altitude.

We have

Upper base length (a) = 6 cm

Lower base length(b) = 15 cm

Area (A) = 136.5 c[tex]m^{2}[/tex]

Let a and b be the upper and lower lengths of a trapezoid and h be the height. The area is given by

A = (1/2)(a + b)h

According to the

h = (2 × A)/(a + b)

According to the question,

we can written as above formula in terms of height

h = [(2)  × (136.5)] /(6 + 15)

h = 273/21

h = 13 cm

Hence, the height of trapezoid is 13 cm

To learn more about trapezoid from here

https://brainly.com/question/8643562

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