0
What is the perimeter of an isosceles trapezoid with parallel sides of 10.33 cm and 20.33 cm with an area of 183.96 square cm showing all work leading to the answer?
Wiki User
∙ 9y ago
First find its height and then use Pythagoras to find its equal sides:-
Area: 0.5*(sum of parallel sides)*height = 183.96
Height: (2*183.96)/(10.33+20.33) = 12 cm
Each side will have a right angle with bases of 5 cm
Using Pythagoras each equal side lengths are 13 cm
Perimeter therefore is: 13+13+10.33+20.33 = 56.66 cm
Wiki User
∙ 9y ago
Wiki User
∙ 9y agoArea, a = 0.5*(x+y)*h where x and y are the lengths of the parallel sides.So h = 2*a/(x+y) = 12 cm.
Difference in parallel sides = 10 cm. Therefore, the "base" extends 5 cm. That is, the base, height and slanted side form a right angled triangle. Base of triangle = 5 cm, height = 12 cm. So, by Pythagoras, slant side = 13 cm.
Therefore, perimeter = 10.33 + 13 + 20.33 + 13 = 56.66 cm.
Add your answer:
Earn +20 pts
If you have an area that is 25 square meters what is the perimeter?
If it's a square, it's 20 metres (5m x 5m = 25 m2, 4 x 5m = 20m). If it's a rectangle that is 10 metres by 2.5 metres, then it's also 20 metres. But what if it's a rectangle that's 12.5 metres by 2 metres? It's 29 metres around. What if it's a rectangle that's 25 metres by 1 metre, which has a perimeter of 52 metres? How about a triangle that has an area of 25 square metres? What are its dimensions? What is its perimeter? Or a circle? Apologies for leading you down the path. It is only done in an attempt, however feeble, to get you to think through questions or problems. That is all. It's not sarcasm or anything aimed at characterization. It is a prayer to any and all to understand the concept and develop the skills associated with critical thinking. Only that.
What is the space between the lines called?
It is called leading.
What shapes behavior?
Reinforcing a series of successive steps leading to the final response.
How many edges does a octagonal pyramid has?
16 edges- the edges of the base, and the edges leading to the point of the pyramid.
What pyramid has 36 edges?
It is an enneadecagon pyramid as it has 18 edges on the bottom and 18 leading up to the top vertex.
What is the perimeter of an isosceles trapezoid whose base parallel side is 26.6 cm with a height of 19.92 cm and an area of 364.536 square cm showing all work leading to the answer?
Let its other parallel side be x and then use Pythagoras to find its equal ends:- Area: 0.5*(26.6+x)*19.92 = 364.536 sq cm Other parallel side: x = (364.536*2)/19.92 -26.6 = 10 cm It will have 2 right ange triangles at each end with bases of 8.3 cm Using Pythagoras: 19.92squared+8.3square = 465.6964 its sq rt => 21.58 Its perimeter therefore is: 21.58+21.58+10+26.6 = 79.76 cm
What are the diagonal lengths of an isosceles trapezoid whose longest parallel side is 25 cm with a height of 18 cm and an area of 315 square cm showing all work leading to the answer?
Let the other parallel side be x and then use Pythagoras to find diagonal lengths: Area: 0.5*(25+x)*18 = 315 sq cm Other parallel side: x = (315*2)/18 -25 = 10 cm Two right angle triangles can be formed with bases of 17.5 and heights of 18 cm Using Pythagoras: 17.5square+18squared = 630.25 and its sq rt is 25 to nearest integer Therefore the diagonal lengths are: 25 cm to the nearest whole number
What is a roundabout?
A "roundabout" is a conjunction of 2 or more roads which meet at a circular central island surrounded by a perimeter road, where right of way is given to cars on the circular section of road as opposed to the roads leading to the junction.
What are verbs for walked?
leading leading leading leading
How are spiral cut hams cut?
With a spiral slicer. The ham is put on a skewer and rotated slowly past a stationary blade parallel to its leading surface.
What is the dimension of a rectangle with an area of 120 square feet and a perimeter of 44 feet?
== == 2(L + B) = 44, so L + B = 22; also LB = 120. So we come up with L(22 - L) = 120, leading to L = 12 and B = 10.
How do you answer a leading question?
with a leading rehtorical answer
What was A postulate that was developed and accepted by greek mathematicians?
One postulate developed and accepted by Greek mathematicians was the Parallel Postulate, which stated that given a line and a point not on that line, there is exactly one line through the point that is parallel to the given line. This postulate was crucial in the development of Euclidean geometry. However, it was later discovered that this postulate is not actually necessary for generating consistent geometries, leading to the development of non-Euclidean geometries.
What is feathering a propeller?
Feathering a propeller means rotating the blades so that the leading and trailing edges are nearly parallel with the aircraft flight path to stop or minimize drag and engine rotation. Normally used to indicate the shutdown of a reciprocating or turboprop engine because of a malfunction.
Who is the leading goal scorer?
Pele is leading.
What are the leading question in research?
A leading question is when the answer can be a yes or no answer. A leading question gives the answer in the question stem.
What is the present simple and present continuous for lead?
Present simple: I/You/We/They lead. He/She/It leads. The present participle is leading. Present continuous: I am leading. You/We/they are leading. He/She/It is leading.
