Question

Ширина прямоугольной крышки стола 55 см, а длинна в 3 раза больше. Чему будет равна сторона квадратной крышки стола, если периметры обеих крышек одинаковы?

Answer 1

Пошаговое объяснение:

Дано :

b1=55 cм

а1=3×55=165 см

Р1=Р2

Найти : а2

Р1=2(а1×b1)=2(165+55)=2×220=440 cм

Р2=Р1=440 см

Р2=4а2

а2=Р2/4=440/4=110 см

Ответ : 110 см

Answer 2

Calculation of the Side Length of the Square Tabletop

To find the side length of the square tabletop, we can use the information given about the rectangular tabletop.

Given: - Width of the rectangular tabletop = 55 cm - Length of the rectangular tabletop is 3 times the width

Let's calculate the length of the rectangular tabletop first: Length = 3 * Width = 3 * 55 cm = 165 cm

Now, let's calculate the perimeter of the rectangular tabletop: Perimeter of the rectangular tabletop = 2 * (Length + Width) = 2 * (165 cm + 55 cm) = 2 * 220 cm = 440 cm

Since the perimeters of both the rectangular and square tabletops are equal, we can set up an equation to find the side length of the square tabletop:

Perimeter of the square tabletop = 4 * Side Length

Since the perimeters are equal, we have: 4 * Side Length = 440 cm

To find the side length, we can divide both sides of the equation by 4: Side Length = 440 cm / 4 = 110 cm

Therefore, the side length of the square tabletop will be 110 cm.