Question

Find the area of shaded portion if radius of circle is 7 cm, dimensions of rectangle are 40 cm by 20 cm and lengths of parallel lines of trapezium are 120 cm and 160 cm. Distance between parallel lines is 100 cm.​

Answer 1

Answer:

13066

Step-by-step explanation:

First Find The Area Of Recatngle

Area = Length × Breadth

Area = 40×20

Area = 800 cm2

Then Find Area Of Trapezium

Area =1/2 × Sum Of Parralel Side × Distance

Area = 14000 cm2

Now Circumference Of Circle

Area = 22 / 7 × r2

Area 154 cm2

Total Area Of Circle And Rectangle =154 +800 = 954 cm2

Shaded Area = 14000-954 = 13066

Answer 2

Given: The radius of circle is 7 cm, dimensions of rectangle are 40 cm by 20 cm and lengths of parallel lines of trapezium are 120 cm and 160 cm. Distance between parallel lines is 100 cm.​

To find: The area of shaded portion.

Solution: The area of the shaded portion is 13046 cm².

In order to find the area of the shaded portion, we need to subtract the area of the rectangle and the circle from the area of the trapezium. Now, to find the area of a trapezium, the following formula can be used.

$(Area)_{t} = \frac{1}{2} (a+b) h$

Here, a and b are the lengths of the parallel sides and h is the height of the trapezium. Thus, the area of the trapezium is

$(Area)_{t} = \frac{1}{2} (120+160) 100$

            $= 14000 \: cm^{2}$

Now, the areas of the circle and the rectangle can be calculated as shown below.

$Circle = \pi r^{2}$

           $= \frac{22}{7} * 7^{2}$

           $=154 \: cm^{2}$

$Rectangle = l * b$

                 $= 40 * 20$

                 $= 800 \: cm^{2}$

Thus, the area of the shaded region is

$14000 - 154 - 800 = 13046 \: cm^{2}$

Therefore, the area of the shaded portion is 13046 cm².

Although a figure of your question is missing, you might be referring to the one attached.