The length of the rectangle will be 18 cm.
The width of the rectangle will be 28 cm.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The perimeter of rectangle = 52 cm
An Area of a rectangle = 144 cm²
Let the length of the rectangle = l
The width of the rectangle = b
So, We get;
⇒ 2 (l + b) = 52
⇒ l + b = 26 ..(i)
And, l x b = 144 ..(ii)
Since, (l - b)² = (l + b)² - 4lb
= (26)² - 4 × 144
= 676 - 576
= 100
⇒ l - b = √100
⇒ l - b = 10 ..(iii)
Solve equation (i) and (iii), we get;
⇒ l = 18 cm
⇒ b = 28 cm
Thus, The length of the rectangle will be 18 cm.
The width of the rectangle will be 28 cm.
Learn more about the rectangle visit:
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The dimensions of length can be measured using a ruler, and the angle measurement can be made with the use of a protractor
The dimensions (calculated) of the figure are:
Angles formed at each intersection;
Angle A is approximately 97.125°
Angle B is approximately 53.6°
Angle C is approximately 26.6°
Lengths of the straight sides;
Side AB is approximately 3.6
Side BC is 8
Side AC is approximately 6.7
Please find attached the screen grab of the image
The reason the above values are correct is as follows:
Question: The coordinates of the points A, B, and C, obtained from a similar question online are; A(3, 4), B(1, 1), and C(9, 1)
Please find attached the diagram of the tree paths that intersect at the points A, B, and C
The required parameter:
To measure and record the angle formed at each intersection
The angles can be measured using a protractor, however, by calculation, we have;
The length of AB = √((3 - 1)² + (4 - 1)²) = √13 ≈ 3.6
The length of BC = √((9 - 1)² + (1 - 1)²) = 8
The length of AC = √((9 - 3)² + (1 - 4)²) = √45 = 3·√5 ≈ 6.7
By cosine rule, we have;
Therefore, the angles formed at each intersection are;
Angle A ≈ 97.125°
Angle B ≈ 53.6°
Angle C ≈ 26.6°
The lengths of the straight side are;
Side AB ≈ 3.6
Side BC = 8
Side AC ≈ 6.7
Please find attached the image of the triangle ABC created with MS Excel
Learn more about finding the dimensions of triangle given the coordinates here:
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