Question

довжина прямокутника дорівнює 4,5 м а ширина втричі менша від неї у скільки разів збільшиться площа прямокутника якщо довжину і ширину збильшити на 1,8 м?​

Answer 1

Ответ:

У 3,08 разів збільшиться площа прямокутника

Пошаговое объяснение:

1) якщо довжина =4,5м, тоді ширина 4,5/3=1,5м

площа=4,5*1,5=6,75м2.

2)якщо довжина 4,5+1,8=6,3, а ширина 1,5+1,8=3,3, то площа збільшеного прямокутника=6,3*3,3=20,79 м2

3)20,79÷6,75=3,08

Answer 2

Problem Analysis

We are given that the length of a rectangle is 4.5 m and the width is three times smaller than the length. We need to determine how much the area of the rectangle will increase if we increase both the length and width by 1.8 m.

Solution

To solve this problem, we can follow these steps: 1. Calculate the initial area of the rectangle. 2. Calculate the new length and width of the rectangle after increasing them by 1.8 m. 3. Calculate the new area of the rectangle. 4. Calculate the increase in area.

Let's calculate each step in detail.

Step 1: Calculate the initial area of the rectangle

The initial length of the rectangle is given as 4.5 m. The width is three times smaller than the length, so the width is 4.5 m / 3 = 1.5 m.

The initial area of the rectangle is calculated by multiplying the length and width: Initial Area = Length * Width = 4.5 m * 1.5 m = 6.75 square meters.

Step 2: Calculate the new length and width of the rectangle

To find the new length and width of the rectangle after increasing them by 1.8 m, we add 1.8 m to both the length and width.

New Length = Initial Length + 1.8 m = 4.5 m + 1.8 m = 6.3 m. New Width = Initial Width + 1.8 m = 1.5 m + 1.8 m = 3.3 m.

Step 3: Calculate the new area of the rectangle

The new area of the rectangle is calculated by multiplying the new length and width: New Area = New Length * New Width = 6.3 m * 3.3 m = 20.79 square meters.

Step 4: Calculate the increase in area

The increase in area is calculated by subtracting the initial area from the new area: Increase in Area = New Area - Initial Area = 20.79 square meters - 6.75 square meters = 14.04 square meters.

Therefore, if we increase both the length and width of the rectangle by 1.8 m, the area of the rectangle will increase by 14.04 square meters.

Answer: The area of the rectangle will increase by 14.04 square meters.