Question

Someone help me on this question please ?

Answer 1

First, let's calculate the area of the rectangle. Find the distances between the length and the width. For the width we can use point A and point D.

(2, 2) and (20, 2)

20 - 2 = 18

So the width is 18 cm. Now find the length. We can use point A and point B.

(2, 2) and 2, 26)

26 - 2 = 24

So the length is 24.


`\sf A=lw`


`\sf A=(24)(18)`


`\sf A=432cm^2`

So the area of the rectangle is 432 square centimeters, now let's find the area of the circle.

The radius is given as 15 cm. Use 3.14 to approximate for pi.


`\sf A=\pi r^2`


`\sf A\approx (3.14)(15)^2`


`\sf A\approx (3.14)(225)`


`\sf A\approx 706.5cm^2`

So the area of the circle is approximately 706.5 square centimeters. Subtract this area from the area of the rectangle to find the value of the shaded area.


`\sf 706.5-432=\boxed{\sf 274.5cm^2}`