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

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

Respuesta :

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

Answer:  [tex]40\ cm^2[/tex]

Step-by-step explanation:

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

[tex]\text{Area}=\text{Length}\times\text{Width}[/tex]

The dimension of outer rectangle 15 cm by 7 cm

Then , Area of outer rectangle = [tex]15\times7=105\ cm^2[/tex]

The dimension of inner rectangle 13 cm by 5 cm

Then , Area of inner rectangle = [tex]13\times5=65\ cm^2[/tex]

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

[tex]105\ cm^2-65\ cm^2=40\ cm^2[/tex]

Hence, the area of the shaded region = [tex]40\ cm^2[/tex]