
Из листа фанеры размером 11*15 см выпилили два квадрата со стороной 5 см и три прямоугольника со
сторонами 4 см и 7 см определитель площадь оставшейся части?

Ответы на вопрос

Два квадрата с площадью (а^2) в сумме дают 50
Три прямоугольника с площадью (а*б) в сумме дают 84
В результате: 165-50-84=31



Calculating the Remaining Area of the Plywood Sheet
To calculate the remaining area of the plywood sheet after cutting out two squares with a side length of 5 cm and three rectangles with sides of 4 cm and 7 cm, we can follow these steps:
1. Calculate the Total Area of the Plywood Sheet: - The total area of the plywood sheet is given by the product of its length and width. - Given that the plywood sheet has dimensions of 11 cm by 15 cm, the total area can be calculated as: - Total Area = Length × Width - Total Area = 11 cm × 15 cm - Total Area = 165 cm²
2. Calculate the Area of the Cut-Out Shapes: - We have cut out two squares with a side length of 5 cm and three rectangles with sides of 4 cm and 7 cm. - The total area of the cut-out shapes can be calculated as the sum of the areas of the squares and rectangles.
3. Calculate the Remaining Area: - The remaining area of the plywood sheet can be found by subtracting the total area of the cut-out shapes from the total area of the plywood sheet.
Calculation
1. Total Area of the Plywood Sheet: - Total Area = 11 cm × 15 cm - Total Area = 165 cm²
2. Area of the Cut-Out Shapes: - Area of two squares with a side length of 5 cm: - Area = 5 cm × 5 cm = 25 cm² - Total area of the squares = 25 cm² × 2 = 50 cm² - Area of three rectangles with sides of 4 cm and 7 cm: - Area = 4 cm × 7 cm = 28 cm² - Total area of the rectangles = 28 cm² × 3 = 84 cm² - Total area of the cut-out shapes = 50 cm² + 84 cm² = 134 cm²
3. Remaining Area: - Remaining Area = Total Area of Plywood Sheet - Total Area of Cut-Out Shapes - Remaining Area = 165 cm² - 134 cm² - Remaining Area = 31 cm²
Therefore, the remaining area of the plywood sheet after cutting out two squares with a side length of 5 cm and three rectangles with sides of 4 cm and 7 cm is 31 cm².


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