Rectangles

The perimeter of a rectangle is 90 m. Divide it into three rectangles, the shorter side has all three rectangles the same, their longer sides are three consecutive natural numbers. What is the dimensions of each rectangle?

Correct result:

x =  9 m
a =  11 m
b =  12 m
c =  13 m

Solution:

2•x+2•(a+b+c) = 90
b = a+1
c = b+1
a = 22/2

2a+2b+2c+2x = 90
a-b = -1
b-c = -1
2a = 22

a = 11
b = 12
c = 13
x = 9

Our linear equations calculator calculates it.

$a=11=11\text{ m}$

$b=12=12\text{ m}$

$c=13=13\text{ m}$

Try another example

Showing 0 comments:

Next similar math problems:

• Plot
  The length of the rectangle is 8 smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of rectangle will be increased by 30 m. What are the dimensions of the recta
• Rectangle diagonals
  It is given rectangle with area 24 cm² a circumference 20 cm. The length of one side is 2 cm larger than length of second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
• Rectangle
  Perimeter of rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width:height)
• Rectangular plot
  The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot.
• Square into three rectangles
  Divide the square with a side length of 12 cm into three rectangles with have the same circumference so that these circumferences are as small as possible.
• Rectangle
  The length of the rectangle is 12 cm greater than 3 times its width. What dimensions and area this rectangle has if ts circumference is 104 cm.
• 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.
• Rectangles
  Vladimir likes to draw rectangles. Yesterday he created all rectangles that had sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn?
• Four integers
  Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
• Lookout tower
  How high is the lookout tower? If each step was 3 cm lower, there would be 60 more of them on the lookout tower. If it was 3 cm higher again, it would be 40 less than it is now.
• MO-Z5-3-66 tiles
  The picture shows a square tiles with side 10 dm which is composed of four identical small rectangles and squares. Circumference of small square is five times smaller than the circumference of the entire tile. Determine the dimensions of the rectangle.
• Equilateral triangle
  A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.
• Rectangular field
  A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field.
• Ratio of sides
  Calculate the area of a circle that has 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.
• Isosceles triangle
  The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at ratio 5:6. Find the triangle area.
• Digit sum
  The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get the number 2430. What is the original two-digit number?
• Folding table
  The folding kitchen table has a rectangular shape with an area of 168dm2 (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hu