geometry
posted by Millwe .
On a graph, the points (4,2),(7,2),(9,5) and (2,5) are connected in order to form a trapezoid. To the nearest tenth, what is its perimeter?

Compute the four side lenghts using the pairs of coordinates.
The side that goes from (4,2) to (7,2) has a length of sqrt[(74)^2 + (2 (2)^2] = 5
Do the others the same way.
Then add all four. 
Thank you for your help, I still don't understand

In order to figure the length of a line segment, you have to rely on the Pythagorean Theorem. If that doesn't sound familiar, you need to review your text. The theorem states that in a right triangle with legs a and b, with hypotenuse c,
c^{2} = a^{2} + b^{2}
Now, if you plot two points on a piece of graph paper, such as (7,2) and (9,5), the line joining the points will be a slanting line. If you draw horizontal and vertical lines from each point, they will intersect to form a right triangle. The length of the legs are just the xdistance from 7 to 9 = 2, and the ydistance from 5 to 2 = 3.
So, the length of the hypotenuse is given by
h^{2} = 2^{2} + 3^{2}
h^{2} = 13
so,
h = √13
If you follow these steps for each side of the figure, you can add up all the lengths to get the perimeter.
Respond to this Question
Similar Questions

geometry CA
Graph quadrilateral ABCD. Then determine the most precise name for each quadrilateral. 1. A (0, 5), B (–5, 0), C (0, –5), D (5, 0) (1 point) square kite rectangle 2. A (–4, 4), B (3, 4), C (5, 0), D (–2, 0) (1 point) square … 
geometry
An isosceles trapezoid has bases length 19 and 11 centimeters and length 13 centimeters. What is the area of the trapezoid to the nearest tenth? 
geometry
The trapezoids are similar. The area of the smaller trapezoid is 564m^2. Find the area of the larger trapezoid to the nearest whole number. The smaaler trapezoid is 24m, and the larger trapezoid is 57m. Possible answers: 576m^23,249m^23,181m^214m^2 … 
Geometry
1. What is the base and the height of the rectangle if the area is 216 and the perimeter is 66? 
Geometry
An isosceles trapezoid has bases of length 20 and 12 centimeters and legs of length 11 centimeters what is the area of the trapezoid to the nearest tenth 
Geometry
An isosceles trapezoid has bases of length 20 and 12 centimeters and legs of length 11 centimeters what is the area of the trapezoid to the nearest tenth 
Perimeter and Area
The set of points (2, 3), (9, 3), (9, 2), and (2, 2) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form? 
Geometry
The measure of the consecutive sides of an isosceles trapezoid are in the ratio 8:5:2:5 the perimeter of the trapezoid is 140 inches if it's height is 20 inches find the area of the trapezoid 
Geomertry
Points c,a,b are connected to form a triangle along the surface of a sphere. Points R,E,N are connected to form a triangle on a euclidean. What is true between spherical and euclidean geometry? 
Geomertry
Points c,a,b are connected to form a triangle along the surface of a sphere. Points R,E,N are connected to form a triangle on a euclidean. What is true between spherical and euclidean geometry?