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Area of the shaded region to be covered with grass is 204 yd²
Step-by-step explanation:
- Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.
Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them
Sum of parallel sides = 25 yd + (3 + 12) = 40 yd
Distance between them = 12 yd
⇒ Total area = 1/2 × 40 × 12 = 240 yd²
- Step 2: Find the area of the lap pool.
Area = length × width = 12 × 3 = 36 yd²
- Step 3: Find the area of the shaded region
Area to be covered with grass = 240 - 36 = 204 yd²
Answer:
20 males and 7 females
Step-by-step explanation:
Let's say the number of females is x and the number of males is y.
We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.
There are 13 fewer females than males, so: x = y - 13.
Now, we can use substitution to solve this system of linear equations.
Since x = y - 13, we can plug in y - 13 for x in x + y = 27:
x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20
Then, we use this value of y to solve for x:
x = y - 13 = 20 - 13 = 7
Thus, there are 20 males and 7 females.
Hope this helps!
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