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]3 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]3 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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If an 8-foot ladder is leaned against a wall with its foot braced 4 feet from the wall's base, how far up the wall will the top

vivado [14]

We know that
see the picture to better understand the problem
in the right triangle ABC
Applying the Pythagoras Theorem
AB²=BC²+AC²-------> BC²=AB²-AC²
AB=8 ft
AC=4 ft
BC²=8²-4²-----> BC²=48--------> BC=√48-------> BC=6.93 ft

the answer is
6.93 ft