Goosebumpsestoybox
27.06.2019 •
Mathematics
what is the area of the irregular polygon shown below?
o
a. 65 sq. units
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b. 49 sq. units
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c. 105 sq. units
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d. 35 sq. units
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Ответ:
Option B: 49 square units.
Step-by-step explanation:
The irregular polygon consists of a rhombus a square.
Area of rhombus = 0.5*(product of diagonals).
Area of square = length * length = l^2.
The diagonals of the rhombus measure 8 units and 6 units respectively. The diagram shows the length of half of the diagonals, so doubling both the lengths gives us the required lengths. The side of the square measures 5 units. Substituting all the information in the formula:
Total Area = Area of rhombus + Area of square.
Total Area = 0.5*8*6 + 5^2.
Total Area = 24 + 25
Total Area = 49 square units.
Therefore, Option B is the correct answer!!!
Ответ:
12 and 17
Step-by-step explanation:
smaller number = (29-5)/2 = 24/2 = 12
greater number = 12 + 5 = 17