Calculate the area of his garden from the picture below pls help
1 answer:
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Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
when
is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:
Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.
inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!
Answer:
AE = 43.2 units
Perimeter = 229.2 units
Step-by-step explanation:
Let the side AE be 'x'.
Consider triangles AEB and ADC
Statements Reasons
1. ∠ ABE ≅ ∠ ACD Right angles are congruent.
2. ∠A ≅ ∠A Common angle
Therefore, the two triangles are similar by AA postulate.
Now, for similar triangles, the ratio of their corresponding sides are also proportional to each other. Therefore,
Now, plug in the given values and solve for 'x'. This gives,
Therefore, AE = 43.2 units
Now, from right angled triangle ABE,
Similarly from right angled triangle ACD,
Now, perimeter is the sum of all the sides of a figure. Therefore, the perimeter of BCDE is given as:
Perimeter = BE + ED + CD + BC
Perimeter = 27.879 + 72 + 74.344 + 55 = 229.223 ≈ 229.2 (Nearest tenth)
Therefore, the perimeter = 229.2 units