Answer:
the length of the rectangle is 10 meters and the width is 8 meters.
Step-by-step explanation:
To find the length and width of the rectangle, we can use the given information about its perimeter and the relationship between its length and width.
Here's how we can solve the problem step-by-step:
1. Let's assume that the width of the rectangle is represented by "x" meters.
2. According to the given information, the length of the rectangle is 2 meters greater than its width. Therefore, the length can be represented as "x + 2" meters.
3. The perimeter of a rectangle is given by the formula: 2(length + width). Substituting the length and width values into this formula, we have:
2(x + 2 + x) = 36
4. Simplifying the equation:
2(2x + 2) = 36
4x + 4 = 36
5. Subtracting 4 from both sides of the equation:
4x = 32
6. Dividing both sides of the equation by 4:
x = 8
7. Now that we have the value of x, we can find the length of the rectangle by substituting it into the expression "x + 2":
Length = 8 + 2 = 10 meters
8. Therefore, the length of the rectangle is 10 meters and the width is 8 meters.
So, the length of the rectangle is 10 meters and the width is 8 meters.
Answer:
breath = 8m
length = 10m
Step-by-step explanation:
Let x represent the breath.
We can start with making an equation to solve this problem.
2(x + 2 + x) = 36
Simplify the equation.
2x + 4 + 2x = 36
Move all numbers to one side and let the terms stay on the other.
2x + 2x = 36 - 4
Simplify the equation.
4x = 32
Divide each side by 4 to get the value of x.
x = 8
That means that the breath is 8m.
The length is 2m greater so that means that the length is 10m.
Let's check if these measurements are correct.
( 10 x 2 ) + ( 8 x 2 ) = 20 + 16 = 36
breath = 8m
length = 10m
