Perimeters

A rectangle has a perimeter of 16p centimeters, it had a width of 2p centimeters. Each side of an equilateral triangle is 1/2 the length of the rectangle. Find the total perimeter of the rectangle and the triangle if p=8.

Correct result:

r =  128 cm
t =  72 cm

Solution:

p=8 r=16⋅ p=16⋅ 8=128 cmp=8 \ \\ r=16 \cdot \ p=16 \cdot \ 8=128 \ \text{cm}
w=2⋅ p=2⋅ 8=16 cm l=r/2−w=128/2−16=48 cm s=12⋅ l=12⋅ 48=24 cm  t=3⋅ s=3⋅ 24=72 cmw=2 \cdot \ p=2 \cdot \ 8=16 \ \text{cm} \ \\ l=r/2-w=128/2-16=48 \ \text{cm} \ \\ s=\dfrac{ 1 }{ 2 } \cdot \ l=\dfrac{ 1 }{ 2 } \cdot \ 48=24 \ \text{cm} \ \\ \ \\ t=3 \cdot \ s=3 \cdot \ 24=72 \ \text{cm}

Try another example


We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you!






Showing 0 comments:
avatar




Tips to related online calculators
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Rectangle 45
    rectangles2_4 The perimeter of a rectangle is 60cm. If the length of the rectangle is 20cm. a)find the width b)find the area.
  • Playground
    playground_fencing Rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length.
  • Second side
    rectangles2 Calculate the length of the other side of the rectangle if its circumference is 60 cm and one side is 10 cm long.
  • An equilateral triangle
    equilateral_triangle The perimeter of an equilateral triangle is 33cm. How long is each side?
  • Triangles
    green_triangle Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
  • Sides of triangle
    rr_triangle2 Triangle circumference with two identical sides is 117cm. The third side measures 44cm. How many cms do you measure one of the same sides?
  • Arm-leg
    triangles2 Calculate the length of the base of an isosceles triangle with a circumference 224 cm if the arm length is 68 cm.
  • Circle - simple
    kruh The circumference of a circle is 198 mm. How long in mm is its diameter?
  • Round table
    obrus A tablecloth should be sewn on a round table with a diameter of 78 cm, which should extend around the table by 10 cm. How many cms of ribbons need to be bought for edging?
  • Bicycle wheel
    cyklo2_2 After driving 157 m bicycle wheel rotates 100 times. What is the radius of the wheel in cm?
  • A rectangle
    rectangle_12 A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
  • Hotel
    hotel The hotel has a p floors each floor has i rooms from which the third are single and the others are double. Represents the number of beds in hotel.
  • 7 triangle
    coloured_triangle The triangle area is 26.7 cm2. Determine the side length l if appropriate height hl = 45.3 cm.
  • Simplify
    numbers3_1 Simplify the following problem and express as a decimal: 5.68-[5-(2.69+5.65-3.89) /0.5]
  • Expression
    expr_2 Solve for a specified variable: P=a+4b+3c, for a
  • Height to the base
    triangle The triangle area is 35 cm ^ 2. The size of the base is 10 cm. Find the length of height to the base.
  • Height
    triangle_rt1 The content of the triangle is 35 cm2. The length of the base is 10 cm. Determine the length of the height on the base.