Given : - Square ABCD with side 3. E and F as midpoints.
To find : - area of EBFD
Solution : - We have, area of square ABCD = 3 x 3 = 9 units.
Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF
arDAE = 1/2 x base x height
=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25
arDFC = 1/2 x base x height
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25
Thus, (ar) EBFD = arABCD - arDAE - arDCF
= 9 - 2.25 - 2.25
= 4.5 units.
Thus, area of quad EBFD is 4.5 units.
2(10+5)−5
=(2)(15)−5
=30−5
=25
C is the answer.
3x - 3y = -12 ------------- (1)
7x + 2y = -19 --------------(2)
(1) x 2 : 6x - 6y = - 24 ----------- (1a)
(2) x 3 : 21x + 6y = -57 ----------- (2a)
(1a) + (2a) : 27x = - 81
x = - 3
Sub x = -3 into (1) : 3(-3) - 3y = - 12
y = - 12 + 9
y = - 3
Answer( -3, -3)
Volume of cuboid=abc
Volume of prism :-
- Area of base×Height
- ab ×c
- abc
Same volume i.e 39 units²
If a,b,c=a,b,c
5p-9=2p-12
5p-2p=-12+9
3p=-3
p=1
