The sides

The sides of the rectangle are in a ratio of 3: 5 and its circumference measures 72 cm. Calculate:
a) the size of both sides of the rectangle
b) the area of the rectangle
c) the length of the diagonals

Correct answer:

a =  13.5 cm
b =  22.5 cm
S =  303.75 cm²
u =  26.2393 cm

Step-by-step explanation:

5a=3b
2(a+b)=72

5•a=3•b
2•(a+b)=72

5a-3b = 0
2a+2b = 72

a = 27/2 = 13.5
b = 45/2 = 22.5

Our linear equations calculator calculates it.

$b=22.5=22.5\text{ cm}$

$S=a\cdot b=13.5\cdot 22.5=303.75{\text{cm}}^2$

$u=\sqrt{a^2+b^2}=\sqrt{13.5^2+22.5^2}=26.2393\text{ cm}$

Try another example

Related math problems and questions:

• Rectangle 3-4-5
  The sides of the rectangle are in a ratio of 3:4. The length of the rectangle diagonal is 20 cm. Calculate the content of the rectangle.
• Ratio of sides
  Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7.
• ISO triangle
  Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has perimeter 377 mm.
• Rhombus and diagonals
  The rhombus area is 150 cm², and the ratio of the diagonals is 3:4. Calculate the length of its height.
• Rectangle
  The length of the rectangle are in the ratio 5:12 and the circumference is 238 cm. Calculate the length of the diagonal and area of rectangle.
• Rectangle
  The rectangle has a perimeter 75 cm. Diagonal length is 32.5 cm. Determine the length of the sides.
• Rectangle diagonals
  It is given a rectangle with an area of 24 cm² a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
• Rectangle - sides ratio
  Calculate the area of a rectangle whose sides are in ratio 3:13 and perimeter is 673.
• The circumference
  The circumference and width of the rectangle are in a ratio of 5: 1. its area is 216cm². What is its length?
• In a
  In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides.
• Rectangle - sides 4
  Perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio 3:5.
• Rectangle - desc circle
  Length of the sides of the rectangle are at a ratio 1: 3 . Radius of the circle circumscribed to rectangle is 10 cm. Calculate the rectangle's perimeter.
• Circle and rectangle
  A rectangle with sides of 11.7 cm and 175 mm is described by circle. What is its length? Calculate the content area of the circle described by this circle.
• Rectangular garden
  The sides of the rectangular garden are in ratio 1: 2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden.
• Isosceles trapezoid
  Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
• Ratio of sides
  The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm.
• Two diagonals
  The diagonals of the diamond EFGH have lengths in the ratio 1: 2. What is the circumference of a rhombus if the longer of the diagonals is 8 cm long?