What is the area of the figure shown below? Please help, (will fan)

Question

coolguy1 · Answer

3mar · Answer

May I help?

coolguy1 · Answer

Of course

3mar · Answer

Thank you a lot!

3mar · Answer

As first glance, we would divide that area into species!

coolguy1 · Answer

Species? Can you please explain

3mar · Answer

divide this into parts:

3mar · Answer

|dw:1477155550316:dw|
We would calculate the area of the big rectangular and subtract the three areas from it.

3mar · Answer

@coolguy1

3mar · Answer

Take that photo and examine it!

agent0smith · Answer

^notice the bottom piece is a trapezoid, and there's a formula for finding area of a trap.

3mar · Answer

d=(25+12.5)-16-x
so the area of the whole figure equals to (25+12.5)*(15.2+18)=1245 km^2

the blue area=12.5*15.2=190 km^2

to find x and d (and I think they are equal)= [(25+12.5)-16]/2=10.75km

the pink area=10.75*18=193.5 km^2
the yellow are=10.75*18=193.5 km^2

so the net area=1245-190-193.5-193.5=668 km^2


Hope that helps

3mar · Answer

I hope it is an isosceles trapezoidal!

agent0smith · Answer

It doesn't need to be - area of a trapezoid is http://www.gradeamathhelp.com/image-files/area-trapezoid.gif

3mar · Answer

A point of view!

agent0smith · Answer

So you have the rectangle at the top, which the area is easy to find.

The trap. at the bottom has bases 37.5 and 16, and height 18.

3mar · Answer

Thank you!
What matters is coolguy1to get it!!!