The diagram shows a polygon. Find the area, in cm², of the whole diagram.

Mathematics

2 answers:

NARA [144]3 years ago

8 0

Answer:

168 $cm^{2}$

Step-by-step explanation:

Consider the picture, break it into a rectangle with a triangle on top. Use the following equation to find the total area of the figure.

$A_{total}$ = $A_{rectangle} + A_{triangle}$

= length×width + $\frac{1}{2} bh$

= (12cm)(10cm) + $\frac{1}{2}(12cm)(8cm)$

= 120 $cm^{2}$ + 48 $cm^{2}$

= 168 $cm^{2}$

Leto [7]3 years ago

4 0

Answer:

Bottom part = 10 * 12 = 120 square centimeters

Top part 8 * 6 = 48 square centimeters

Total Area = 168 square centimeters

Step-by-step explanation:

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Answer:

Gardener will need 4 more plants.

Step-by-step explanation:

Gardener has 780 plants and wants to plant them in an array of n rows and n columns.

The number of plants needed to do that is:

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He actually has 780 plants, thus it should occur:

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Since n needs to be an integer, we round up n to get

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But $28^2=784$ , 4 more than the actual number of plants, thus:

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Note: There are other possible results for n. If we set n=29, then $n^2=841$ and Gardener would need 841-780=61 more plants, but the question asked for the minimum number of plants.