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4 years ago

what is the area in square centimeters of the trapezoid below the height is 6.4 and the base is 12.9 and 8.6

Mathematics

2 answers:

Leona [35]4 years ago

4 0

Hello!
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The area in square centimeters is 68.8.
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Have a great day!

Lelu [443]4 years ago

3 0

Answer:

The area of given trapezoid is 68.8 cm²

Step-by-step explanation:

Given: A trapezoid with height 6.4 cm and parallel base is 12.9 cm and 8.6 cm.

We have to find the area of area of this trapezoid.

Area of trapezoid = $\frac{1}{2}\times \text{sum of parallel sides}\times height$

Given : Height = 6.4 cm

and parallel base is 12.9 cm and 8.6 cm.

Substitute, we have,

Area of trapezoid = $\frac{1}{2}\times (12.9+8.6)\times 6.4$

Simplify, we have,

Area of trapezoid = $\frac{1}{2}\times 21.5\times 6.4$

Area of trapezoid = 68.8 cm²

Thus, The area of given trapezoid is 68.8 cm²

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Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

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Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

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$S_4=\dfrac{a(1-r^4)}{1-r}$

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$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

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Therefore, the sum of the first six terms is 7.875.

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