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Answer :
The dimension of the rectangle is 50 meters by 10 meters
What is the perimeter of a figure?
The perimeter of a figure is the sum of all the external sides of the figure
The formula for calculating the perimeter of rectangle [tex]= 2(\text{l}+\text{w})[/tex]
If the length is 40 meters longer than the width, then:
[tex]\text{l} = 40 + \text{w}[/tex]
Substitute
[tex]120 = 2(40+2\text{w})[/tex]
[tex]60 = 40 + 2\text{w}[/tex]
[tex]30 = 20+ \text{w}[/tex]
[tex]\bold{w = 10 \ meters}[/tex]
Since [tex]\text{l} =40 + \text{w}[/tex]
[tex]\text{l} =40 +10[/tex]
[tex]\bold{l=50 \ meters}[/tex]
Hence the dimension of the rectangle is 50 meters by 10 meters
Learn more on perimeter of figure here: brainly.com/question/22447290
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The dimensions of the rectangle include the following:
Length, x = 50 meters.
Width, y = 10 meters.
How to calculate the perimeter of a rectangle?
In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(x + y)
Where:
- P represent the perimeter of a rectangle.
- y represent the width of a rectangle.
- x represent the length of a rectangle.
Based on the information provided above, the corresponding modeling system that represents the perimeter of this rectangle is given by;
2x + 2y = 120
x − y = 40
By using an online graphing calculator, the dimensions of the rectangle are as follows;
Length, x = 50 meters.
Width, y = 10 meters.
Read more on perimeter here: brainly.com/question/26787666
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