Question

Please help, need urgently. Thanks.​

Answer 1

`60cm^(2)`

Explanation:

What is the area?

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

If we look at this shape, we can split it into 3 separate shapes (shown below)

The top rectangle in blue has a length of 2cm and a width of 10cm. We know the width is 10 because if we were to look at the width of the yellow rectangle and add on the original width you would get:

• 2cm + 8cm = 10cm

Now that we know that the length is 2 and the width is 10, we can use the following formula to solve for the area of a rectangle:

• l × w = h

(Where l = length and h = height)

Inserting 2 in for our length and 10 for our width:

• 2 × 10 = 20

Therefore, the area of the blue rectangle is
`20cm^(2)`.

Looking at the bottom green rectangle, it has the same dimensions as the blue, so it will also have an area of
`20cm^(2)`.

The same goes for the yellow rectangle. It has a length of 10 and a width of 2. These are also the same dimensions as before, so we can once again conclude that the area of the yellow rectangle is
`20cm^(2)`

We have 3 rectangles with areas of
`20cm^(2)` each, so we can use either one of these expressions to solve for the entire area:

• 
  `20cm^(2)+20cm^(2)+20cm^(2)=60cm^(2)`

Or we can use:

• 
  `20cm^(2)` × 3 =
  `60cm^(2)`

Therefore the area of the entire shape is
`60cm^(2)`