Question

What is the area of the given compound shape?

1. 19 sq cm
2. 25 sq cm
3. 34 sq cm

Answer 1

(A)

Explanation:

As you can see, the figure can be divided into a square of side 2cm and a rectangle of sides 5cm and 3cm so we find the area of both and add.

Area of the square

= 2x2 = 4cm^2

Area of the rectangle

= lxb

= 3x5

= 15 cm^2

Therefore the area of the entire figure

= Area of square + area of rectangle

= 15+4

= 19 cm^2

So the correct option is (a)

Hope this helps:)

Answer 2

Option 1

Explanation:

I broke the figure up into two shapes. One of them was a square and the other one was a big rectangle. I calculated the two areas and added them back together. My work is attached in the picture.

Area of a square is: s^2

's' -side length

Area of a rectangle is: b * w

'b' - base or length

'w' - width

The area of the figure should be 19cm².