Quadrilateral eq3

Three sides of a quadrilateral are equal to the foreside which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm?

Correct answer:

b =  10 cm

Step-by-step explanation:

$$\begin{gathered} a=16\text{ cm } \\ p=58\text{ cm } \\ p=3\cdot a+b \\ b=p-3\cdot a=58-3\cdot 16=10\text{ cm} \end{gathered}$$

Try another example

Related math problems and questions:

• Quadrilateral
  The perimeter of a quadrilateral (four sided plane shape) is 125 cm . If the three known sides measure a=12 cm, b=45 cm, and c=30.5 cm, how long is the fourth side?
• The perimeter 6
  The perimeter of quadrilateral is 442.95 cm. If the three known sides measure 84.56 cm,132.77 cm, and 82.75 cm, how long is the fourth side?
• Medians in triangle
  Median of isosceles triangle has a length 3 cm. Determine the length of its sides if its perimeter is 16 cm.
• 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.
• Rhombus A2p
  Rhombus area is 13 cm² and its height is 5cm long . Determine a perimeter of this rhombus.
• Similar triangles
  Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C' if its circumference is 80 cm?
• The rope
  A 68-centimeter long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners?
• A square
  A square with a length of diagonals 12cm give: a) Calculate the area of a square b) rhombus with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.
• Prism height
  What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface.
• Midpoints
  Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is long perimeter of parallelogram KBLM?
• Rectangular triangle PQR
  In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments of which longer is 25cm long. The second leg PR has a length 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 decimal
• Hypotenuse
  Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its content area is 16 square centimeters.
• Rhombus
  If we increase the rhombus side by 2.4 cm; its perimeter is 20 cm. How long was the side of the rhombus?
• 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.
• Isosceles trapezoid
  Find the area of an isosceles trapezoid, if the bases are 12 cm and 20 cm, the length of the arm is 16 cm
• The perimeter 3
  The perimeter of a rectangle is 35 cm. The ratio of the length to its width is 3:2. Calculate the dimensions of the rectangle
• A perimeter
  A perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find lengths of the sides of the parallelogram.