Square

Square JKLM has sides of length 24 cm. Point S is the center of LM. Calculate the area of the quadrant JKSM in cm².

Correct answer:

S =  432 cm²

Step-by-step explanation:

$$\begin{gathered} a=24\text{ cm } \\ {S}_1=a^2=24^2=576{\text{cm}}^2 \\ {S}_2=a\cdot (a\mathrm{/}2)\mathrm{/}2=24\cdot (24\mathrm{/}2)\mathrm{/}2=144{\text{cm}}^2 \\ S=S_1-S_2=576-144=432{\text{cm}}^2 \end{gathered}$$

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?
• Trapezium 2
  Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
• Quadrilateral
  In the square ABCD point P is in the middle of the DC side and point Q in the middle pages AD. If the area of quadrilateral BQPC is 49 cm², what is the area of ABCD?
• Truncated pyramid
  The concrete pedestal in the shape of a regular quadrilateral truncated pyramid has a height of 12 cm, the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
• Prism
  Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm.
• The quadrilateral pyramid
  The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
• Trapezoid - hard example
  Base of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter.
• Rectangular trapezium
  Calculate the perimeter of a rectangular trapezium when its content area is 576 cm² and sice a (base) is 30 cm, height 24 cm.
• Trapezoid ABCD v2
  Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
• Parallelogram ABCD
  The area of parallelogram ABCD is 440 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND?
• Isosceles triangle 9
  Given an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle.
• Trapezoidal prism
  Calculate the surface of the quadrilateral prism ABCDA'B'C'D 'with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L
• Picture 2
  Picture free is of length 14.2 cm and breadth 10.4 cm. The frame has border of uniforms with 2.6 cm. Find the area of photograph.
• IS trapezoid
  Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
• Star
  Calculate the content of the shaded part of square with side 28 cm.
• 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
• School model
  The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3