
So, the answer is 100 cents.
The height of the parallelogram is 6.4 m.
<h3>What is a parallelogram?</h3>
A parallelogram is a quadrilateral. Let us recall that a quadrilateral is a four sided figure. It is also important to recall that the opposite sides of a parallelogram are equal.
Let us now try to find the height of the parallelogram;
Given that;
/DE/ = /AC/
10 = /BC/ + /AB/
/AB/ = 10 - /BC/
/AB/ = 10 - 6
/AB/ = 4 cm
Then;
/AE/= /CD/ = 5 cm
Using the Pythagoras theorem;
/EB/^2 = /AE/^2 + /AB/^2
/EB/ = √/AE/^2 + /AB/^2
/EB/ = √(5)^2 + (4)^2
/EB/ = √ 25 + 16
/EB/ = 6.4 m
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Answer: 54 cm²
Step-by-step explanation: In this problem, we're asked to find the area of the trapezoid shown. A trapezoid is a quadrilateral with one pair of parallel sides.
The formula for the area of a trapezoid is shown below.

The <em>b's</em> represent the bases which are the parallel sides and <em>h</em> is the height.
So in the trapezoid shown, the bases are 6 cm and 12 cm and the height is 6 cm. Plugging this information into the formula, we have
.
Next, the order of operations tell us that we must simplify inside the parentheses first. 6 cm + 12 cm is 18 cm and we have
.
is 9 cm and we have 9 cm · 6 cm of 54 cm²
So the area of the trapezoid shown is 54 cm².
Answer:
16.1
Step-by-step explanation: