Question

Ширина письменного стола меньше длины на 55 см.Вычислите площадь стола,если его периметр равен 370

Answer 1

Ширина х, длина х+55
Р=2(а+в)
2(х+х+55)=370
2х+55=370/2
2х+55=185
2х=185-55
2х=130
х=130:2
х=65 (см) ширина стола
65+55=120 (см) длина стола
S= а*в=65*120=7 800 (кв см)

Answer 2

The user's message is in Russian, so I will respond in Russian as well. The user is asking me to answer in detail. The width of a writing desk is less than the length by 55 cm. Calculate the area of the desk if its perimeter is equal to 370 cm.

To solve this problem, I will use the following steps:

- Let the length of the desk be x cm and the width be y cm. Then, according to the given information, we have two equations:

- y = x - 55 (the width is less than the length by 55 cm) - 2x + 2y = 370 (the perimeter is equal to 370 cm)

- To find the values of x and y, we can substitute the first equation into the second one and get:

- 2x + 2(x - 55) = 370 - 4x - 110 = 370 - 4x = 480 - x = 120

- Then, we can plug x = 120 into the first equation and get:

- y = 120 - 55 - y = 65

- Therefore, the length of the desk is 120 cm and the width is 65 cm.

- To find the area of the desk, we can multiply the length and the width:

- Area = x * y - Area = 120 * 65 - Area = 7800

- The final answer is that the area of the desk is 7800 cm^2^.