Question

Швея сшила скатерть и обшила её тесьмой,длина которой 460 см.Чему равна площадь этой скатерти , если её длина 70 см. больше ширины?

Answer 1

460 см - это периметр
460:2=230 (см) - полупериметр
(230-70):2=80 (см) - ширина
80+70=150 (см) - длина
80×150=12000 (см²) = 1,2 (м²) - площадь скатерти

Answer 2

Calculation of the Area of the Tablecloth

To calculate the area of the tablecloth, we need to know the length and width of the tablecloth. According to the information provided, the length of the tablecloth is 70 cm greater than its width. Let's denote the width of the tablecloth as x cm.

Given that the length of the tablecloth is 70 cm greater than its width, we can express the length as x + 70 cm.

The area of a rectangle is calculated by multiplying its length by its width. Therefore, the area of the tablecloth can be calculated as:

Area = Length × Width

Substituting the values we have:

Area = (x + 70) cm × x cm

Simplifying the expression:

Area = x^2 + 70x cm^2

Now, we need to find the value of x in order to calculate the area of the tablecloth.

Solving for the Width of the Tablecloth

To find the width of the tablecloth, we can use the information given about the length of the trim. According to the information, the length of the trim is 460 cm.

The trim goes all the way around the tablecloth, so we can express the total length of the tablecloth (including the trim) as:

Total Length = Length + 2 × Trim Length

Substituting the values we have:

Total Length = (x + 70) cm + 2 × 460 cm

Simplifying the expression:

Total Length = x + 70 cm + 920 cm

Total Length = x + 990 cm

Since the total length of the tablecloth is equal to the width plus the trim length, we can set up the following equation:

x + 990 cm = x cm

Simplifying the equation:

990 cm = 0 cm

This equation is not possible to solve, as it leads to a contradiction. It seems there might be an error in the given information.

Please double-check the values provided for the length of the trim and the difference between the length and width of the tablecloth.