Question

find the area of enclosed by the following polygon use under root 3 is equals to 1.73​

Answer 1

Answer:

The area enclosed by the given polygon is 450 sq. cm.

Step-by-step explanation:

Given: The polygon consists of -

• two trapeziums of lengths 30cm and 20cm, and height 7cm
• one rectangle of length 20cm and breadth 5cm

Total area enclosed by this polygon = area of rectangle + area of two trapeziums

Area of trapezium =

$\frac{a + b}{2} \times h = \frac{30 + 20}{2} \times 7 \\ = 175 sq.cm.$

For two trapeziums, area = 175×2 = 350 sq.cm.

Area of rectangle =

$length \times breadth = 20 \times 5 \\ = 100sq.cm.$

Thus, total area of polygon = (350+ 100) sq.cm. = 450sq.cm.