Question

construct a trapezium ABCD in which AB||CD, AB=8cm BC=6cm AD =7cm and angle B =70​

Answer 1

Answer:

22.5

Step-by-step explanation:

⇒  Draw a line segment AB=8cm

⇒  Take A as a center with radius 6cm and draw an arc.

⇒   Take B as a center with radius 5cm and draw an arc meeting previous arc at point C.

⇒   Draw a horizontal line passing through a point C.

⇒  Cut off line CD=4.5cm

⇒  Draw a CP∥AD

⇒   Measure the length of CP.

⇒   l(CP)=3.6cm

⇒   Area of trapezium ABCD=

2

AB+CD

​

×CP

⇒    

2

8+4.5

​

×3.6

⇒   22.5cm

2

∴    Area of the trapezium is 22.5cm

2

.