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olga55 [171]
3 years ago
13

The base of a parallelogram is four times its height. If the area of the parallelogram is 324 cm2, find the base and height.

Mathematics
1 answer:
madam [21]3 years ago
8 0
A = bh
b = 4h
A = 324

324 = 4h * h
324 = 4h^2
324/4 = h^2
81 = h^2
sqrt 81 = h
9 = h

b = 4h
b = 4(9)
b = 36

so the height (h) = 9 cm and the base (b) = 36 cm
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Sketch the region that is common to the graphs of x ≥ 2,
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a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

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So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

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So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

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So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

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6 0
1 year ago
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2x^3+5x^2+6x+152x 3 +5x 2 +6x+15
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5 0
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