Question

find the area of the shown,which consists of a squareand nd a triangle.

Answer 1

im lost

Answer 2

Okay....how do we find the area of the square? Length x Width right? so what is that area?

Answer 3

54+54=108 and 69

Answer 4

Well actually I was just going to find the area of the square and area of the triangle...and then add them...so forget what you see with the triangle for now...

just focus on

Answer 5

54

Answer 6

Not quite....Area = Length times Width

\[A = 54 \times 54\]

So the area of the square is 2916

With me so far?

Answer 7

yes

Answer 8

2916 *69

Answer 9

Okay...now we know a square has 4 equal sides...so I can write this as



Do you agree?

Answer 10

69

Answer 11

How do you find the area of a triangle?

Answer 12

im lost

Answer 13

Just try not to jump ahead....it's easy once you see it...you just find the separate areas of each shape...and add them together....

We find the area of a square....the area of a square is Length times Width....correct?

Answer 14

yes

Answer 15

Okay...from your drawing...



For the square only!...The length is 54...and the width is 54....

so the area is

\[Area = 54 \times 54 = 2916\]

You good so far? this is the area of the SQUARE portion of our shape so far...

Answer 16

ok triangle 69x69=4761

Answer 17

Dont jump ahead....

Now....we know that a square has 4 equal sides...in our case here...each side will be 54

So I can make our picture look like



Agree?

Answer 18

ok

Answer 19

Now...to find the area of a triangle...you use the equation

\[Area = \frac{ 1 }{ 2 }base\times height\]

We know the BASE of the triangle...is 69 ft.....and now that I wrote the remaining sides of the square....we can see the HEIGHT of the triangle is 54ft...

so this comes to

\[Area = \frac{ 1 }{ 2 }69\times 54\]

Can you solve that equation? *Remember this is the area of the TRIANGLE only now*

Answer 20

You can write it like this too

\[Area = \frac{ 69 \times 54 }{ 2 }\]

Answer 21

1863

Answer 22

Correct!

So now we have

Area of SQUARE = 2916
Area of TRIANGLE = 1863

Now to find the area of the whole figure...just add these 2 together...

2916 + 1863 = ?

Answer 23

4779

Answer 24

Right...and that is your total area!

Answer 25

4779ft^2

Answer 26

That is correct!