3. Quadrilateral LOVE is a kite in which LV=8 in and OE=20 in. What is the area of the kite? Given: Quadrilateral LIKE is a kite with LI TK and LE a KE. LE is twice LI. If its perimeter is 21 cm, how long LE? 3. a. Formula of Perimeter of Kite Substitution Perimeter of Kite 2S: + 2S2 21 2L1 + 2(2LI) 21 2S1 + 4LI 21 = 6LI LI = 3.5 cm LE = 7 cm Multiplication Property Combining like terms Dividing both sides by 6 LE is twice LI What is the area if one of the diagonats is 4 more than the other and IË + LK = 16 inches? TE + LK = 16 x+ x+4) = 16 2x+ 4 16 2x + 4 4 =16-4 b. Given Substitution Combining like terms Addition Property of Equality Subtraction Property Dividing both sides by 2 Formula of Area of Kite 2x = 12 x=6 Area of Kite= TE) (LK) Area of Kite 6(10) Area of Kite 30 inches2 Area of Kite = Substitution Substitution %3D Multiplication Property

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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3. Quadrilateral LOVE is a kite in which LV=8 in and OE=20 in. What is the area of the kite?
Given: Quadrilateral LIKE is a kite with LI TK and LË = KE.
a. LE is twice LI. If its perimeter is 21 cm, how long is LE?
Perimeter of Kite
3.
2S: + 2S2
Formula of Perimeter of Kite
21 2L7 + 2(2L7)
2S, + 4L7
21 = 6L
LI = 3.5 cm
LE = 7 cm
Substitution
Multiplication Property
Combining like terms
Dividing both sides by 6
LE is twice LI
21
What is the area if one of the diagonats is 4 more than the other
and TE + ZK = 16 inches?
TE + LK
x+ (x + 4) =16
2x + 4=16
4
b.
16
Given
Substitution
Combining like terms
Addition Property of Ecquality
Subtraction Property
Dividing both sides by 2
Formula of Area of Kite
2x+
2x
16-4
12
Area of Kite=D,D2
Area of Kite:
(TE)(CK)
Substitution
Area of Kite = (6)(10)
Area of Kite 30 inches?
Substitution
Multiplication Property
Transcribed Image Text:3. Quadrilateral LOVE is a kite in which LV=8 in and OE=20 in. What is the area of the kite? Given: Quadrilateral LIKE is a kite with LI TK and LË = KE. a. LE is twice LI. If its perimeter is 21 cm, how long is LE? Perimeter of Kite 3. 2S: + 2S2 Formula of Perimeter of Kite 21 2L7 + 2(2L7) 2S, + 4L7 21 = 6L LI = 3.5 cm LE = 7 cm Substitution Multiplication Property Combining like terms Dividing both sides by 6 LE is twice LI 21 What is the area if one of the diagonats is 4 more than the other and TE + ZK = 16 inches? TE + LK x+ (x + 4) =16 2x + 4=16 4 b. 16 Given Substitution Combining like terms Addition Property of Ecquality Subtraction Property Dividing both sides by 2 Formula of Area of Kite 2x+ 2x 16-4 12 Area of Kite=D,D2 Area of Kite: (TE)(CK) Substitution Area of Kite = (6)(10) Area of Kite 30 inches? Substitution Multiplication Property
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