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marishachu [46]
4 years ago
11

The parallelogram shown below has an area of 54 units^2 squared. Find the missing height. h = units.

Mathematics
1 answer:
rewona [7]4 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

This question requires an attachment.

However, if you follow my explanation, you'll arrive at your answer

The area of a parallelogram is:

Area (A)= Base (b) * Height (h)

A = b * h

To solve for Height, we simply make h the subject of formula

h = \frac{A}{b}

In this question, we have that A = 54

Now, let's assume base (b) = 6.

This implies that

h = \frac{54}{6}

h = 9

Or;

Assume that b = 3

h = \frac{54}{3}

h = 18

<em>So, whatever the base of the parallelogram is;</em>

<em>You can easily solve for the height using the above steps</em>

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MariettaO [177]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

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