Question

Can someone please help me find find the area of the shaded region for 2 figures please? In the second figure it’s impossible to find the area of the shaded region because you just can’t do it! So for the second figure you will need to find the area of the unshaded figure which is the trapezoid and the area for the rectangle! Then subtract the area of the rectangle and the area of the trapezoid!

Answer 1

to calculate the area of a Hexagon you could find how many right triangles are in the hexagon and calculate the area of those right triangles to the amount of right triangles there are in the hexagon. A Hexagon has 6 isosceles triangles with bases of 15 ft and height of 4 ft, which means it has 12 right triangles with base of 7.5 and height of 4ft,. Area of the right triangle is bh/2 (base times height divided by two) which base is 7.5 and height is 4 so bh=30 and divided by two is 15, there are 12 right triangles so you can multiply 15*12 and that's the area of the Hexagon which is 180 degrees! |Hope this helps|

Answer 2

You CAN do it. triangle with the circle. find area of triangle first and subtract circle. (8*8)/2 = 32. minus circle. (2.5*pi^2) = 24.674011. so we have 32 - 24.7 (rounded) = 7.3 for triangle. as for the other? divide it into segments. we have a rectangle on bottom followed by 2 triangles on top of that rectangle. Recangle height is 2 * width. The width is 8 as we can see the top. 2*8= 16. plus the triangles. we know the triangle height is 6 minus the 2 from the rectangle height so 6-2=4 times the width which is the rectangle width minus the 6 from the middle divided by 2 because there are 2 triangles. 8-6=2/2 = 1. height * width = 4 divide by 2 = 2. that is the area of one triangle. but because there are 2 triangles multiply by 2. 2*2 = 4. 16+4=20 for the area of the second figure.

Explanation: