What is the total area of the shape below

480ft²

explanation:

first of all, find the area of the rectangle as it is the easiest.
So, do A = L x W.

A = 24 x 15
= 360ft²

Then find the area of half of the triangle.
So, do A = 1/2 x b x h

The length of the base of the full triangle (aka top of the rectangle) is 24ft so since we are finding the area of half of the triangle all you have to do it half 24 (12). (also 1/2 is the same as 0.5)

So the equation for that would be
A = 1/2 x b x h
= 1/2 x 12 x 10
= 1/2 x 120
= 60

So now, to find the area of the whole triangle, times 60 by 2 (as both of the halves are the same) which gives you 120.

Finally, to find the area of the WHOLE shape, do 360ft² + 120ft² which gives you 480ft².

Hope this helps :)

Where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. to write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. this is the value of m in the equation.