Question

Стороны прямоугольника относятся как 2 к 6, а его периметр равен 32 см. найдите площадь этого прямоугольника

Answer 1

S=4*12=48(кв.см)отношение сторон-2:6,т.е. две ширины-это 4 части, две длины-это 12 частей. На одну часть приходится :32:(2+2+6+6)=2(см) Ну а площадь находим, умножая длину на ширину:( 2*6)*(2*2)=12*4=48 

Answer 2

Finding the Area of a Rectangle

To find the area of a rectangle when the sides are in the ratio 2:6 and the perimeter is 32 cm, we can use the following steps:

1. Determine the Length and Width of the Rectangle: - Let's assume the sides of the rectangle are in the ratio 2x:6x. - The perimeter of a rectangle is given by the formula: 2(length + width) = 32. - We can use this information to find the values of length and width.

2. Calculate the Area of the Rectangle: - Once we have the length and width, we can calculate the area of the rectangle using the formula: Area = length * width.

Calculation Steps

1. Determine the Length and Width of the Rectangle: - Let's assume the sides of the rectangle are in the ratio 2x:6x. - The perimeter of a rectangle is given by the formula: 2(length + width) = 32. - Solving for length and width: - 2(2x + 6x) = 32 - 2(8x) = 32 - 16x = 32 - x = 2 - So, the length = 2 * 2 = 4 and the width = 2 * 6 = 12.

2. Calculate the Area of the Rectangle: - Using the formula: Area = length * width. - Area = 4 * 12 = 48 square cm.

Therefore, the area of the rectangle is 48 square cm.

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