Question

What is the area of the figure?











A.

84 in2






B.

189 in2






C.

231 in2






D.

315 in2

Answer 1

https://static.k12.com/calms_media/media/1567000_1567500/1567392/1/7b1872398d0c0757036a9d22d691b40932560e0d/MS_IMB-1401012-1100711.jpg

Answer 2

Basically, what youʻre going to do is

#1 Find the area of the triangle (the white space)

#2 Find the area of the rectangle

#3 Subtract the area of the triangle from the area of the rectangle

Answer 3

The rectangle is basically

Height = 13in

Base = 21in

Do you understand how this works?

Answer 4

Or rather, why it works?

Answer 5

Ok, lets start with the triangle

\[A = b \times h \times \frac{ 1 }{ 2 }\]

With

A = area
b = base
h = height

Now lets find the dimensions

Answer 6

http://prntscr.com/a6r73r

Using what they gave us, we can determine the height of the triangle, which is basically 13 - 9 which is 4 :)

h = 4in

Now for the base,

The base of the triangle is the base of the rectangle, which is given, right there.

http://prntscr.com/a6r876

b = 21in

A = b x h x 1/2

A = 4 x 21 x 1/2

A = 84 x 1/2

Area of the triangle = 42in

Answer 7

Weʻre done with the 1st step, now we find the area of the rectangle.

\[A = b \times h\]

With

A = Area
b = base
h = height

http://prntscr.com/a6r91w

With the given lengths, we have found the dimensions of our rectangle

b = 21in
h = 13in

A = b x h

A = 21 x 13

A = 273in

Answer 8

Now we subtract the area of the triangle from the area of the rectangle

Area of the figure = Area of the rectangle - area of the triangle

Area of the figure = 273 - 42

Area of the figure = 231in

Answer 9

231in^2

Answer 10

Let me know if you need any further help :)

Answer 11

thanks I understand I had to step away for a few minutes

Answer 12

All good ;P