Hexagon ABCDEF has a a perimeter of 40 cm. Equilateral
triangles BCD and DEF have
mave perimeters of 18 cm and 12
cm respectively. What is the area
we area of rectangle ABDF?
(1) 12 cm?
(3) 30 cm?
(2) 24 cm?
(4) 34 cm?
Answers
Perimeter of Quadrilateral ABDF = 30 cm
Step-by-step explanation:
Equilateral triangles BCD and DEF have perimeters of 18 cm and 12
cm respectively
BC = CD = BD & DE = EF = DF
BC + CD + BD + DE + EF + DF = 18 + 12
=> 3BD + 3DF = 30
=> BD + DF = 10 cm
AB + BC + CD + DE + EF + AF = 40 cm
=> AB + BD + BD + DF + DF + AF = 40
=> AB + AF + 2(BD + DF) = 40
=> AB + AF + 2(10) = 40
=> AB + AF = 20
Perimeter of Quadrilateral ABDF = AB + BD + DF + AF
= (AB + AF) + (BD + DF)
= 20 + 10
= 30 cm
Learn more:
Quadrilateral A has side lengths 3,6,6 and 9. Quadrilateral B is a ...
https://brainly.in/question/12536945
plz answer in given fig ab=1/2bc where bc =14cm find (1)area of ...
https://brainly.in/question/8185650
Answer:
24cm
Step-by-step explanation:
Given: perimeter of equilateral triangle BCD = 18cm
perimeter of equilateral triangle DEF = 12 CM
Let side of ∆BCD = x
Perimeter of ∆ BCD = x+x+x = 3x
so, 3x = 18 cm( given)
x = 6 cm
Similarly side of ∆ DEF = 4cm
so, we get sides BD = 6cm and DF = 4cm
Area of rectangle ABDF = 6*4 = 24 cm