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ira [324]
3 years ago
8

Plz help me i need work plz

Mathematics
1 answer:
frozen [14]3 years ago
8 0

For the given figure;

Perimeter = 41 cm and

Area = 49.5 cm².

Step-by-step explanation:

Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.

Step 2; The figure's area = The rectangle's area + The triangle's area.

The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².

The area of a triangle is given by multiplying \frac{1}{2} with the product of the triangle's base and height. The area of the rectangle = \frac{1}{2} × 6 × 2.5 = 7.5 cm².

The figure's area = 42 + 7.5 = 49.5 cm².

Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.

The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.

The perimeter of a triangle is the sum of all the three side lengths.

The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.

The perimeter of the figure = 26 + 15 = 41 cm.

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Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li
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Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

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x ≥ 5

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The maximum number of hours she can work in the restaurant is therefore 15 hours

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Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 

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