The area of the triangle extension is 12, because the total side length it is on is 18, and the segments to the sides of the triangle are 6 each, meaning 18-12=6, the height of the triangle. The base is given as 4, so 1/2(4x6)=24/2=12.
Add this to the area of the rectangle, 9x18=162, and 162+12=174.
The area is 174.
The given quadrilateral is a kite.
Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)
Firstly, we find the distance between AD and DC
AD = 
⇒ AD = 
⇒ AD = 5
DC = 
⇒ DC =
⇒ DC = 5
Hence, AD = DC = 5
Now, find the distance between AB and BC
AB = 
⇒ AB = 
⇒ AB = 
⇒ AB = 
BC = 
⇒ BC = 
⇒ BC = 
⇒ BC =
Hence, AB = BC = √97
In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.
Hence, it follows the property of kite.
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Answer:
Marta's rope is 94"
Step-by-step explanation:
D = dilberts rope length
M = marta's rope length
Marta's jump rope is 10" shorter than four times the length of Dilbert's rope
M = 4D-10
both their ropes laid together end to end and measured 120" long
M+D = 120
Substitute 4D-10 for M in the second equation
4D-10 + D = 120
Combine like terms
5D-10=120
Add 10 to each side
5D-10+10 =120+10
5D =130
Divide by 5
5D/5 = 130/5
D =26
Now we need to find M
M+D = 120
M +26 = 120
Subtract 26 from each side
M = 120-26
M = 94
