Question

In the figure ABCD is a rectangle . The side CD is extended to both sides and P , Q are two

points on this line . .

a) Find the area of the rectangle .

b) Find the area of triangle ABC .

c) Find the area of triangle APB .

d) Find the area of triangle AQB .​

Answer 1

Answer:

a) 24cm square

b) 12 cm square

c) 12 cm square

d) 12 cm square

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

a) Area of rectangle = l x b

= 3 x 8

= 24 cm^2

b) Area of right angled triangle = 1 x b x h

2

= 1 x 8 x 3

2

= 12 cm^2

c) Rectangle can be called as Parallelogram. A theorem states that a triangle and Parallelogram having same base and under same parallel areas have a relation in which triangle's area is half the area of parallelogram so

APB = 24

2

= 12 cm^2

d) A theorem states that two triangles under same parallel lines and having same base have equal area so

AQB = 12 cm^2