Let the lengths be x and x +5:
Area = 1/2*(x+x+5)*4 = 50 sq cm
Multiply both sides by 2 and multply out the brackets:
8x+20 = 100
8x = 100-20
8x = 80
x = 10
Therefore: the parallel sides are 10 cm and 15 cm
Check: 1/2*(10+15)*4 = 50 sq cm
Atrapezoidor trapezium is a quadrilateral with two parallel sides. These two sides are called the bases. Find the average of the lengths of the bases andmultiplyby the perpendicular distance between the parallel sides (the height).bases have lengths a and b, height is h: A = h(a+b)/2
A trapezoid is a 4 sided quadrilateral with 1 pair of opposite parallel sides of different lengths. Its perimeter is the sum of its 4 sides. Its area is: 0.5*(sum of parallel sides)*height
A trapezoid is a 4 sided quadrilateral which has one pair of parallel sides of different lengths. Its perimeter is the sum of its 4 sides. Its area is: 0.5*(sum of parallel sides)*height
Which side lengths? To calculate the parallel sides, you need the height of the trapezium and one of the sides, and you substitute them into the formula: h(a + b)/2, where h = height, a and b are the parallel side lengths. If you want to find the sides that are not parallel, you need the parallel sides, as well as the height of the trapezium. Then, by using Pythagoras theorem, with the side length the hypotenuse, you can find their lengths.
They all have 4 interior angles that add up to 360 degrees They have 1 pair of parallel sides of different lengths They have 4 sides Their area = 0.5*(sum of parallel sides)*height They are in the family of quadrilateral shapes
For a general quadrilateral, the only way is to divide it into two triangles, calculate the area of each and add the two answers together.To do this, you will require 5 pieces of information. These could be the lengths of the four sides and a diagonal, or four sides and any angle (other variations are possible).Formulae involving "height" for example, assume that the quadrilateral has at least one pair of parallel sides. The quadrilateral need not have any parallel sides!
Let the parallel sides be x+1.5 and x: 1/2*(sum of parallel sides)*height = area 1/2*(x+1.5+x)*7 = 33.25 Multiply both sides by 2 and then divide both sides by 7: 2x+1.5 = 9.5 Subtract 1.5 from both sides and then divide both sides by 2: x = 4 Therefore the lengths of the parallel sides are 4 cm and 5.5 cm Check: 1/2*(5.5+4)*7 = 33.25 square cm
Area of a trapezoid = 0.5*(sum of parallel sides)*height
A trapezoid is a 4 sided quadrilateral with one pair of opposite parallel lines of different lengths and the formula for its area is:- 0.5*(parallel side+parallel side)*width or height = area To find the length of a parallel side one of its parallel sides must be given as well as its width and area and so:- Parallel side = (2*area)/(width) - known parallel side
A trapezoid is a 4 sided quadrilateral It has 1 pair of opposite parallel sides of different lengths It has 2 diagonals It has 4 interior angles that add up to 360 degrees It has a perimeter which is the sum of its 4 sides It has an area which is: 0.5*(sum of its parallel sides)*height It will tessellate
Area of a trapezoid = 0.5*(sum of parallel sides)*height
If the lengths of the two parallel sides are a and b, and the height of the trapezium (the distance between them) is h, then area_of_trapezium = 1/2 (a + b) h that is half of the sum of the lengths of the two parallel sides multiplied by the distance between them.