Question

Hello I need help with this.Question: Calculate the area of this letter E.

Answer 1

To calculate the area of the letter we in the picture, we can divide it in rectangles.

There are different ways of doing it. Let's divide like this:

So, we have 4 rectangles.

The left one has a height of 3.45m and the length is not given directly, but we know that is the difference between the total length minus the length of the top rectangle:

`2.9m-200cm=2.9m-2.0m=0.9m`

So, the first rectangle is 3.45m x 0.9m, so the area 1 is:

`A_1=(3.45\cdot0.9)m^2=3.105m^2`

The top rectangle is 200cm (2.00m) by 75cm (0.75m). So, the area 2 is:

`A_2=(2\cdot0.75)m^2=1.5m^2`

The middle triangle is 1.2m by 75cm (0.75m), so the area 3 is:

`A_3=(1.2\cdot0.75)m^2=0.9m^2`

And the bottom rectangle is the same as the top one, so the area 4 is equal to the area 2:

`A_4=A_2=1.5m^2`

The total area is the sum of the areas 1 to 4:

`\begin{gathered} A=A_1+A_2+A_3+A_4 \\ A=(3.105+1.5+0.9+1.5)m^2 \\ A=7.005m^2 \end{gathered}`

Thus, the area of this letter E is 7.005 m².