Question

A Rectangular region is removed from another Rectangular region to create the shaded region showed below. Find the area of the shaded region.

Answer 1

Answer:
`40\ cm^2`

Explanation:

We know that the area of a rectangle is given by :-

`\text{Area}=\text{Length}*\text{Width}`

The dimension of outer rectangle 15 cm by 7 cm

Then , Area of outer rectangle =
`15*7=105\ cm^2`

The dimension of inner rectangle 13 cm by 5 cm

Then , Area of inner rectangle =
`13*5=65\ cm^2`

Now, the area of the shaded region will be :-

`105\ cm^2-65\ cm^2=40\ cm^2`

Hence, the area of the shaded region =
`40\ cm^2`

Answer 2

Okay so find the area of the big shape.
7x15=105
Now find the area of the small one which is:
5x13=65
And now all you have to do is take away the area of the small box away from the big box. So...
105-65=40... But remember to put in the right form which is cm but since we found the area of 2d shape it's going to be cm2. So.... 40cm2