Question

Прямоугольный лист фанеры разделили на две части так, что первая часть оказалась в 4 раза больше второй. Чему равна площадь всего листа фанеры, если первая часть на 220,8 квадратных сантиметра больше второй?

Answer 1

$S=S_1+S_2$

$\left \{ {{S_1=4S_2} \atop {S_1-S_2=220.8}} \right. \left \{ {{S_1=4S_2} \atop {4S_2-S_2=220.8}} \right. \left \{ {{S_1=4S_2} \atop {3S_2=220.8}} \right. \left \{ {{S_1=4S_2} \atop {S_2=73.6}} \right. \left \{ {{S_1=220.8+73.6=294.4} \atop {S_2=73.6}} \right.$

$S=294.4+73.6=368$

Answer 2

Calculating the Total Area of the Plywood Sheet

To find the total area of the plywood sheet, we can use the following approach:

Let's assume the area of the second part of the plywood sheet is x square centimeters. Then the area of the first part will be 4x square centimeters.

The total area of the plywood sheet will be the sum of the areas of the two parts.

Calculation

Let's denote: - The area of the second part as x square centimeters. - The area of the first part as 4x square centimeters.

Given that the first part is 220.8 square centimeters larger than the second part, we can set up the equation: 4x - x = 220.8

Solving for x: 4x - x = 220.8 3x = 220.8 x = 220.8 / 3 x = 73.6

So, the area of the second part (x) is 73.6 square centimeters, and the area of the first part (4x) is 294.4 square centimeters.

Therefore, the total area of the plywood sheet is the sum of the areas of the two parts: Total area = 294.4 + 73.6 = 368 square centimeters.

The total area of the plywood sheet is 368 square centimeters.